137905000 has 40 divisors (see below), whose sum is σ = 323123130. Its totient is φ = 55160000.

The previous prime is 137904971. The next prime is 137905039. The reversal of 137905000 is 509731.

It can be written as a sum of positive squares in 5 ways, for example, as 28451556 + 109453444 = 5334^2 + 10462^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8791 + ... + 18790.

Almost surely, 2^137905000 is an apocalyptic number.

137905000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137905000 is an abundant number, since it is smaller than the sum of its proper divisors (185218130).

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

137905000 is an equidigital number, since it uses as much as digits as its factorization.

137905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27607 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 137905000 is about 11743.2959598232. The cubic root of 137905000 is about 516.6463166918.

The spelling of 137905000 in words is "one hundred thirty-seven million, nine hundred five thousand".