137897520 has 160 divisors (see below), whose sum is σ = 448846272. Its totient is φ = 34983936.

The previous prime is 137897519. The next prime is 137897521. The reversal of 137897520 is 25798731.

It is an interprime number because it is at equal distance from previous prime (137897519) and next prime (137897521).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137897521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470494 + ... + 470786.

Almost surely, 2^137897520 is an apocalyptic number.

137897520 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 137897520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

137897520 is an abundant number, since it is smaller than the sum of its proper divisors (310948752).

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

137897520 is a wasteful number, since it uses less digits than its factorization.

137897520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 137897520 is about 11742.9774759215. The cubic root of 137897520 is about 516.6369755166.

The spelling of 137897520 in words is "one hundred thirty-seven million, eight hundred ninety-seven thousand, five hundred twenty".