135654655400 has 192 divisors, whose sum is σ = 354063052800. Its totient is φ = 47914880000.

The previous prime is 135654655399. The next prime is 135654655417. The reversal of 135654655400 is 4556456531.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 11770841 + ... + 11782359.

It is an arithmetic number, because the mean of its divisors is an integer number (1844078400).

Almost surely, 2^135654655400 is an apocalyptic number.

135654655400 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 135654655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177031526400).

135654655400 is an abundant number, since it is smaller than the sum of its proper divisors (218408397400).

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

135654655400 is a wasteful number, since it uses less digits than its factorization.

135654655400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 135654655400 in words is "one hundred thirty-five billion, six hundred fifty-four million, six hundred fifty-five thousand, four hundred".