137027819520 has 144 divisors (see below), whose sum is σ = 474914119680. Its totient is φ = 36540727296.

The previous prime is 137027819479. The next prime is 137027819567. The reversal of 137027819520 is 25918720731.

137027819520 is a `hidden beast` number, since 1 + 370 + 2 + 78 + 195 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651264 + ... + 835583.

It is an arithmetic number, because the mean of its divisors is an integer number (3298014720).

Almost surely, 2^137027819520 is an apocalyptic number.

137027819520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137027819520 is an abundant number, since it is smaller than the sum of its proper divisors (337886300160).

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

137027819520 is a wasteful number, since it uses less digits than its factorization.

137027819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486880 (or 1486857 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 137027819520 in words is "one hundred thirty-seven billion, twenty-seven million, eight hundred nineteen thousand, five hundred twenty".