137588647680 has 360 divisors, whose sum is σ = 537077916144. Its totient is φ = 33354547200.

The previous prime is 137588647657. The next prime is 137588647709. The reversal of 137588647680 is 86746885731.

137588647680 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 8 + 86 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×137588647680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1080160 + ... + 1200800.

Almost surely, 2^137588647680 is an apocalyptic number.

137588647680 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 137588647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268538958072).

137588647680 is an abundant number, since it is smaller than the sum of its proper divisors (399489268464).

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

137588647680 is a wasteful number, since it uses less digits than its factorization.

137588647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120685 (or 120662 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 137588647680 in words is "one hundred thirty-seven billion, five hundred eighty-eight million, six hundred forty-seven thousand, six hundred eighty".