137783544635880 has 1536 divisors, whose sum is σ = 542049706598400. Its totient is φ = 29915290828800.

The previous prime is 137783544635873. The next prime is 137783544635903. The reversal of 137783544635880 is 88536445387731.

137783544635880 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 8 + 35 + 4 + 4 + 6 + 3 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 137783544635799 and 137783544635808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57006016432 + ... + 57006018848.

It is an arithmetic number, because the mean of its divisors is an integer number (352896944400).

Almost surely, 2^{137783544635880} is an apocalyptic number.

137783544635880 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 137783544635880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271024853299200).

137783544635880 is an abundant number, since it is smaller than the sum of its proper divisors (404266161962520).

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

137783544635880 is a wasteful number, since it uses less digits than its factorization.

137783544635880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 137783544635880 in words is "one hundred thirty-seven trillion, seven hundred eighty-three billion, five hundred forty-four million, six hundred thirty-five thousand, eight hundred eighty".