136153392291840 has 2688 divisors, whose sum is σ = 594936110039040. Its totient is φ = 25926303744000.

The previous prime is 136153392291769. The next prime is 136153392291893. The reversal of 136153392291840 is 48192293351631.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61302741930 + ... + 61302744150.

It is an arithmetic number, because the mean of its divisors is an integer number (221330398080).

Almost surely, 2^{136153392291840} is an apocalyptic number.

136153392291840 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 136153392291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297468055019520).

136153392291840 is an abundant number, since it is smaller than the sum of its proper divisors (458782717747200).

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

136153392291840 is a wasteful number, since it uses less digits than its factorization.

136153392291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 136153392291840 in words is "one hundred thirty-six trillion, one hundred fifty-three billion, three hundred ninety-two million, two hundred ninety-one thousand, eight hundred forty".