136774514701440 has 5120 divisors, whose sum is σ = 665745086016000. Its totient is φ = 26310367641600.

The previous prime is 136774514701427. The next prime is 136774514701463. The reversal of 136774514701440 is 44107415477631.

136774514701440 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 7 + 4 + 514 + 70 + 14 + 40 = 666.

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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2242205159010 + ... + 2242205159070.

Almost surely, 2^{136774514701440} is an apocalyptic number.

136774514701440 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 136774514701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332872543008000).

136774514701440 is an abundant number, since it is smaller than the sum of its proper divisors (528970571314560).

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

136774514701440 is an frugal number, since it uses more digits than its factorization.

136774514701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 136774514701440 in words is "one hundred thirty-six trillion, seven hundred seventy-four billion, five hundred fourteen million, seven hundred one thousand, four hundred forty".