136457049600 has 480 divisors, whose sum is σ = 522670832640. Its totient is φ = 34804408320.

The previous prime is 136457049497. The next prime is 136457049611. The reversal of 136457049600 is 6940754631.

136457049600 is a `hidden beast` number, since 1 + 36 + 4 + 5 + 7 + 0 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7940217 + ... + 7957383.

It is an arithmetic number, because the mean of its divisors is an integer number (1088897568).

Almost surely, 2^136457049600 is an apocalyptic number.

136457049600 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 136457049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261335416320).

136457049600 is an abundant number, since it is smaller than the sum of its proper divisors (386213783040).

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

136457049600 is a wasteful number, since it uses less digits than its factorization.

136457049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17227 (or 17200 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 136457049600 in words is "one hundred thirty-six billion, four hundred fifty-seven million, forty-nine thousand, six hundred".