137699520 has 224 divisors, whose sum is σ = 516550656. Its totient is φ = 30412800.

The previous prime is 137699503. The next prime is 137699531. The reversal of 137699520 is 25996731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×137699520² = 37922315616460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207990 + ... + 208650.

Almost surely, 2^137699520 is an apocalyptic number.

137699520 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 137699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258275328).

137699520 is an abundant number, since it is smaller than the sum of its proper divisors (378851136).

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

137699520 is a wasteful number, since it uses less digits than its factorization.

137699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 137699520 is about 11734.5438769472. The cubic root of 137699520 is about 516.3895861996.

The spelling of 137699520 in words is "one hundred thirty-seven million, six hundred ninety-nine thousand, five hundred twenty".