137627867040 has 96 divisors (see below), whose sum is σ = 436437590400. Its totient is φ = 36454431744.

The previous prime is 137627867009. The next prime is 137627867063. The reversal of 137627867040 is 40768726731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890644 + ... + 1033683.

It is an arithmetic number, because the mean of its divisors is an integer number (4546224900).

Almost surely, 2^137627867040 is an apocalyptic number.

137627867040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137627867040 is an abundant number, since it is smaller than the sum of its proper divisors (298809723360).

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

137627867040 is a wasteful number, since it uses less digits than its factorization.

137627867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924494 (or 1924486 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 137627867040 in words is "one hundred thirty-seven billion, six hundred twenty-seven million, eight hundred sixty-seven thousand, forty".