137435491065600 has 2160 divisors, whose sum is σ = 645611720427520. Its totient is φ = 28061680435200.

The previous prime is 137435491065577. The next prime is 137435491065779. The reversal of 137435491065600 is 6560194534731.

137435491065600 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 35 + 49 + 1 + 0 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1462359411 + ... + 1462453389.

Almost surely, 2^{137435491065600} is an apocalyptic number.

137435491065600 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 137435491065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322805860213760).

137435491065600 is an abundant number, since it is smaller than the sum of its proper divisors (508176229361920).

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

137435491065600 is a wasteful number, since it uses less digits than its factorization.

137435491065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94068 (or 94040 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 137435491065600 in words is "one hundred thirty-seven trillion, four hundred thirty-five billion, four hundred ninety-one million, sixty-five thousand, six hundred".