137404542735504 has 320 divisors, whose sum is σ = 456172677365760. Its totient is φ = 39136262400000.

The previous prime is 137404542735463. The next prime is 137404542735511. The reversal of 137404542735504 is 405537245404731.

137404542735504 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 45 + 42 + 7 + 3 + 550 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59536369 + ... + 61801199.

It is an arithmetic number, because the mean of its divisors is an integer number (1425539616768).

Almost surely, 2^{137404542735504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137404542735504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228086338682880).

137404542735504 is an abundant number, since it is smaller than the sum of its proper divisors (318768134630256).

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

137404542735504 is a wasteful number, since it uses less digits than its factorization.

137404542735504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265627 (or 2265615 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 137404542735504 in words is "one hundred thirty-seven trillion, four hundred four billion, five hundred forty-two million, seven hundred thirty-five thousand, five hundred four".