137071541652480 has 1056 divisors, whose sum is σ = 532786793011200. Its totient is φ = 32418039988224.

The previous prime is 137071541652421. The next prime is 137071541652541. The reversal of 137071541652480 is 84256145170731.

137071541652480 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 7 + 1 + 541 + 6 + 52 + 48 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946364706 + ... + 946509534.

Almost surely, 2^{137071541652480} is an apocalyptic number.

137071541652480 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 137071541652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266393396505600).

137071541652480 is an abundant number, since it is smaller than the sum of its proper divisors (395715251358720).

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

137071541652480 is a wasteful number, since it uses less digits than its factorization.

137071541652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144949 (or 144928 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 137071541652480 in words is "one hundred thirty-seven trillion, seventy-one billion, five hundred forty-one million, six hundred fifty-two thousand, four hundred eighty".