137923680 has 48 divisors (see below), whose sum is σ = 434461104. Its totient is φ = 36779520.

The previous prime is 137923657. The next prime is 137923691. The reversal of 137923680 is 86329731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143191 + ... + 144150.

It is an arithmetic number, because the mean of its divisors is an integer number (9051273).

Almost surely, 2^137923680 is an apocalyptic number.

137923680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137923680 is an abundant number, since it is smaller than the sum of its proper divisors (296537424).

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

137923680 is a wasteful number, since it uses less digits than its factorization.

137923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287359 (or 287351 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 137923680 is about 11744.0912802992. The cubic root of 137923680 is about 516.6696431786.

The spelling of 137923680 in words is "one hundred thirty-seven million, nine hundred twenty-three thousand, six hundred eighty".