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135837500 = 225510867
BaseRepresentation
bin10000001100010…
…11011100111100
3100110121021000112
420012023130330
5234233300000
621251245152
73236412461
oct1006133474
9313537015
10135837500
116a7497a7
12395a97b8
13221b0826
141407d668
15bdd3235
hex818b73c

135837500 has 36 divisors (see below), whose sum is σ = 297152856. Its totient is φ = 54330000.

The previous prime is 135837491. The next prime is 135837503. The reversal of 135837500 is 5738531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135837503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7067 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (8254246).

Almost surely, 2135837500 is an apocalyptic number.

135837500 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 135837500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148576428).

135837500 is an abundant number, since it is smaller than the sum of its proper divisors (161315356).

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

135837500 is an equidigital number, since it uses as much as digits as its factorization.

135837500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 135837500 is about 11654.9345772510. The cubic root of 135837500 is about 514.0514162760.

The spelling of 135837500 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 10867 12500 21734 43468 54335 108670 217340 271675 543350 1086700 1358375 2716750 5433500 6791875 13583750 27167500 33959375 67918750 135837500