137950080 has 64 divisors (see below), whose sum is σ = 439722000. Its totient is φ = 36786176.

The previous prime is 137950079. The next prime is 137950081. The reversal of 137950080 is 80059731.

137950080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137950079) and next prime (137950081).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137950081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34005 + ... + 37844.

Almost surely, 2^137950080 is an apocalyptic number.

137950080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137950080 is an abundant number, since it is smaller than the sum of its proper divisors (301771920).

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

137950080 is an equidigital number, since it uses as much as digits as its factorization.

137950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71871 (or 71859 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 137950080 is about 11745.2151959851. The cubic root of 137950080 is about 516.7026063565.

The spelling of 137950080 in words is "one hundred thirty-seven million, nine hundred fifty thousand, eighty".