136753245687744 has 168 divisors, whose sum is σ = 467666641225680. Its totient is φ = 39072355886592.

The previous prime is 136753245687727. The next prime is 136753245687767. The reversal of 136753245687744 is 447786542357631.

It is a happy number.

136753245687744 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 53 + 2 + 4 + 568 + 7 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×136753245687744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807462367 + ... + 807631710.

Almost surely, 2^{136753245687744} is an apocalyptic number.

136753245687744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136753245687744 is an abundant number, since it is smaller than the sum of its proper divisors (330913395537936).

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

136753245687744 is a wasteful number, since it uses less digits than its factorization.

136753245687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615094112 (or 1615094089 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 72.

The spelling of 136753245687744 in words is "one hundred thirty-six trillion, seven hundred fifty-three billion, two hundred forty-five million, six hundred eighty-seven thousand, seven hundred forty-four".