136400056541760 has 672 divisors, whose sum is σ = 488124515394432. Its totient is φ = 32227430400000.

The previous prime is 136400056541759. The next prime is 136400056541761. The reversal of 136400056541760 is 67145650004631.

It is an interprime number because it is at equal distance from previous prime (136400056541759) and next prime (136400056541761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (136400056541761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4862559735 + ... + 4862587785.

It is an arithmetic number, because the mean of its divisors is an integer number (726375766956).

Almost surely, 2^{136400056541760} is an apocalyptic number.

136400056541760 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 136400056541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244062257697216).

136400056541760 is an abundant number, since it is smaller than the sum of its proper divisors (351724458852672).

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

136400056541760 is a wasteful number, since it uses less digits than its factorization.

136400056541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29155 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 136400056541760 in words is "one hundred thirty-six trillion, four hundred billion, fifty-six million, five hundred forty-one thousand, seven hundred sixty".