135474614100 has 432 divisors, whose sum is σ = 511842240000. Its totient is φ = 30438529920.

The previous prime is 135474614087. The next prime is 135474614137. The reversal of 135474614100 is 1416474531.

135474614100 is a `hidden beast` number, since 1 + 3 + 547 + 4 + 6 + 1 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10029151 + ... + 10042649.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820000).

Almost surely, 2^135474614100 is an apocalyptic number.

135474614100 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 135474614100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120000).

135474614100 is an abundant number, since it is smaller than the sum of its proper divisors (376367625900).

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

135474614100 is a wasteful number, since it uses less digits than its factorization.

135474614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13594 (or 13575 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 135474614100 in words is "one hundred thirty-five billion, four hundred seventy-four million, six hundred fourteen thousand, one hundred".