136400544 has 192 divisors, whose sum is σ = 479001600. Its totient is φ = 36889344.

The previous prime is 136400513. The next prime is 136400569. The reversal of 136400544 is 445004631.

136400544 is a `hidden beast` number, since 13 + 640 + 0 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114319 + ... + 115505.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^136400544 is an apocalyptic number.

136400544 is a gapful number since it is divisible by the number (14) 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 136400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

136400544 is an abundant number, since it is smaller than the sum of its proper divisors (342601056).

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

136400544 is a wasteful number, since it uses less digits than its factorization.

136400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 136400544 is about 11679.0643460853. The cubic root of 136400544 is about 514.7606818445.

The spelling of 136400544 in words is "one hundred thirty-six million, four hundred thousand, five hundred forty-four".