136431404601456 has 40 divisors (see below), whose sum is σ = 352448219905920. Its totient is φ = 45477080069056.

The previous prime is 136431404601383. The next prime is 136431404601469. The reversal of 136431404601456 is 654106404134631.

It is a super-2 number, since 2×136431404601456² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66780181 + ... + 68792843.

It is an arithmetic number, because the mean of its divisors is an integer number (8811205497648).

Almost surely, 2^{136431404601456} is an apocalyptic number.

136431404601456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136431404601456 is an abundant number, since it is smaller than the sum of its proper divisors (216016815304464).

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

136431404601456 is a wasteful number, since it uses less digits than its factorization.

136431404601456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424893 (or 3424887 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 136431404601456 in words is "one hundred thirty-six trillion, four hundred thirty-one billion, four hundred four million, six hundred one thousand, four hundred fifty-six".