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135374592 = 283359491
BaseRepresentation
bin10000001000110…
…10011100000000
3100102201202000210
420010122130000
5234123441332
621233314120
73232444053
oct1004323400
9312652023
10135374592
116a462a31
1239405940
132207ac12
1413d9ca9a
15bd40ecc
hex811a700

135374592 has 72 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 44907520.

The previous prime is 135374543. The next prime is 135374593. The reversal of 135374592 is 295473531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135374592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135374593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275467 + ... + 275957.

It is an arithmetic number, because the mean of its divisors is an integer number (5028240).

Almost surely, 2135374592 is an apocalyptic number.

135374592 is a gapful number since it is divisible by the number (12) 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 135374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

135374592 is an abundant number, since it is smaller than the sum of its proper divisors (226658688).

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

135374592 is an equidigital number, since it uses as much as digits as its factorization.

135374592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 135374592 is about 11635.0587450171. The cubic root of 135374592 is about 513.4668223519.

The spelling of 135374592 in words is "one hundred thirty-five million, three hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 491 718 768 982 1077 1436 1473 1964 2154 2872 2946 3928 4308 5744 5892 7856 8616 11488 11784 15712 17232 22976 23568 31424 34464 45952 47136 62848 68928 91904 94272 125696 137856 176269 188544 275712 352538 377088 528807 705076 1057614 1410152 2115228 2820304 4230456 5640608 8460912 11281216 16921824 22562432 33843648 45124864 67687296 135374592