137557117320 has 128 divisors (see below), whose sum is σ = 496446796800. Its totient is φ = 29786800896.

The previous prime is 137557117303. The next prime is 137557117333. The reversal of 137557117320 is 23711755731.

137557117320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4293474 + ... + 4325393.

It is an arithmetic number, because the mean of its divisors is an integer number (3878490600).

Almost surely, 2^137557117320 is an apocalyptic number.

137557117320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137557117320 is an abundant number, since it is smaller than the sum of its proper divisors (358889679480).

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

137557117320 is a wasteful number, since it uses less digits than its factorization.

137557117320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618907 (or 8618903 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The spelling of 137557117320 in words is "one hundred thirty-seven billion, five hundred fifty-seven million, one hundred seventeen thousand, three hundred twenty".