137019072 has 56 divisors (see below), whose sum is σ = 363419136. Its totient is φ = 45561088.

The previous prime is 137019037. The next prime is 137019079. The reversal of 137019072 is 270910731.

It is not an unprimeable number, because it can be changed into a prime (137019079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123673 + ... + 124775.

Almost surely, 2^137019072 is an apocalyptic number.

137019072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137019072 is an abundant number, since it is smaller than the sum of its proper divisors (226400064).

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

137019072 is a wasteful number, since it uses less digits than its factorization.

137019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 137019072 is about 11705.5145978295. The cubic root of 137019072 is about 515.5375942789.

The spelling of 137019072 in words is "one hundred thirty-seven million, nineteen thousand, seventy-two".