136156296038400 has 2880 divisors, whose sum is σ = 563978783047680. Its totient is φ = 32188907520000.

The previous prime is 136156296038359. The next prime is 136156296038401. The reversal of 136156296038400 is 4830692651631.

136156296038400 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 5 + 6 + 29 + 603 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136156296038401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 411348326235 + ... + 411348326565.

It is an arithmetic number, because the mean of its divisors is an integer number (195825966336).

Almost surely, 2^{136156296038400} is an apocalyptic number.

136156296038400 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 136156296038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281989391523840).

136156296038400 is an abundant number, since it is smaller than the sum of its proper divisors (427822487009280).

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

136156296038400 is a wasteful number, since it uses less digits than its factorization.

136156296038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 136156296038400 in words is "one hundred thirty-six trillion, one hundred fifty-six billion, two hundred ninety-six million, thirty-eight thousand, four hundred".