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145540000 = 255419383
BaseRepresentation
bin10001010110011…
…00001110100000
3101010212012100101
420223030032200
5244224240000
622235232144
73415032604
oct1053141640
9333765311
10145540000
11751763a1
12408a8654
13241c9b58
1415487504
15cb9ce6a
hex8acc3a0

145540000 has 120 divisors (see below), whose sum is σ = 377879040. Its totient is φ = 55008000.

The previous prime is 145539997. The next prime is 145540007. The reversal of 145540000 is 45541.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 145540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145540007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379809 + ... + 380191.

It is an arithmetic number, because the mean of its divisors is an integer number (3148992).

Almost surely, 2145540000 is an apocalyptic number.

145540000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

145540000 is an abundant number, since it is smaller than the sum of its proper divisors (232339040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145540000 is an equidigital number, since it uses as much as digits as its factorization.

145540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 145540000 is about 12063.9960212195. The cubic root of 145540000 is about 526.0101488594.

Adding to 145540000 its reverse (45541), we get a palindrome (145585541).

The spelling of 145540000 in words is "one hundred forty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 383 400 475 500 608 625 760 766 800 950 1000 1250 1520 1532 1900 1915 2000 2375 2500 3040 3064 3800 3830 4000 4750 5000 6128 7277 7600 7660 9500 9575 10000 11875 12256 14554 15200 15320 19000 19150 20000 23750 29108 30640 36385 38000 38300 47500 47875 58216 61280 72770 76000 76600 95000 95750 116432 145540 153200 181925 190000 191500 232864 239375 291080 306400 363850 380000 383000 478750 582160 727700 766000 909625 957500 1164320 1455400 1532000 1819250 1915000 2910800 3638500 3830000 4548125 5821600 7277000 7660000 9096250 14554000 18192500 29108000 36385000 72770000 145540000