137535500 has 48 divisors (see below), whose sum is σ = 307411104. Its totient is φ = 53726400.

The previous prime is 137535479. The next prime is 137535511. The reversal of 137535500 is 5535731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18302 + ... + 24698.

It is an arithmetic number, because the mean of its divisors is an integer number (6404398).

Almost surely, 2^137535500 is an apocalyptic number.

137535500 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 137535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153705552).

137535500 is an abundant number, since it is smaller than the sum of its proper divisors (169875604).

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

137535500 is a wasteful number, since it uses less digits than its factorization.

137535500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 137535500 is about 11727.5530269532. The cubic root of 137535500 is about 516.1844732322.

The spelling of 137535500 in words is "one hundred thirty-seven million, five hundred thirty-five thousand, five hundred".