137738280 has 32 divisors (see below), whose sum is σ = 413215200. Its totient is φ = 36730176.

The previous prime is 137738261. The next prime is 137738281. The reversal of 137738280 is 82837731.

It is not an unprimeable number, because it can be changed into a prime (137738281) 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, 573790 + ... + 574029.

It is an arithmetic number, because the mean of its divisors is an integer number (12912975).

Almost surely, 2^137738280 is an apocalyptic number.

137738280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137738280 is an abundant number, since it is smaller than the sum of its proper divisors (275476920).

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

137738280 is a wasteful number, since it uses less digits than its factorization.

137738280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147833 (or 1147829 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 137738280 is about 11736.1952948986. The cubic root of 137738280 is about 516.4380331917.

The spelling of 137738280 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, two hundred eighty".