135857288400 has 960 divisors, whose sum is σ = 507747502080. Its totient is φ = 30833049600.

The previous prime is 135857288393. The next prime is 135857288429. The reversal of 135857288400 is 4882758531.

It is a super-2 number, since 2×135857288400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319002749 + ... + 1319002851.

It is an arithmetic number, because the mean of its divisors is an integer number (528903648).

Almost surely, 2^135857288400 is an apocalyptic number.

135857288400 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 135857288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253873751040).

135857288400 is an abundant number, since it is smaller than the sum of its proper divisors (371890213680).

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

135857288400 is a wasteful number, since it uses less digits than its factorization.

135857288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 135857288400 in words is "one hundred thirty-five billion, eight hundred fifty-seven million, two hundred eighty-eight thousand, four hundred".