137929680 has 120 divisors (see below), whose sum is σ = 529406592. Its totient is φ = 31525632.

The previous prime is 137929679. The next prime is 137929697. The reversal of 137929680 is 86929731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8644 + ... + 18723.

Almost surely, 2^137929680 is an apocalyptic number.

137929680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137929680 is an abundant number, since it is smaller than the sum of its proper divisors (391476912).

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

137929680 is a wasteful number, since it uses less digits than its factorization.

137929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 137929680 is about 11744.3467251269. The cubic root of 137929680 is about 516.6771351793.

The spelling of 137929680 in words is "one hundred thirty-seven million, nine hundred twenty-nine thousand, six hundred eighty".