137189027520 has 168 divisors, whose sum is σ = 472074233904. Its totient is φ = 36568147968.

The previous prime is 137189027473. The next prime is 137189027533. The reversal of 137189027520 is 25720981731.

137189027520 is a `hidden beast` number, since 1 + 3 + 7 + 18 + 90 + 27 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7787362 + ... + 7804958.

It is an arithmetic number, because the mean of its divisors is an integer number (2809965678).

Almost surely, 2^137189027520 is an apocalyptic number.

137189027520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137189027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236037116952).

137189027520 is an abundant number, since it is smaller than the sum of its proper divisors (334885206384).

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

137189027520 is a wasteful number, since it uses less digits than its factorization.

137189027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20327 (or 20314 counting only the distinct ones).

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

The spelling of 137189027520 in words is "one hundred thirty-seven billion, one hundred eighty-nine million, twenty-seven thousand, five hundred twenty".