135164700 has 360 divisors, whose sum is σ = 502874064. Its totient is φ = 31104000.

The previous prime is 135164677. The next prime is 135164713. The reversal of 135164700 is 7461531.

135164700 is a `hidden beast` number, since 13 + 5 + 1 + 647 + 0 + 0 = 666.

It is a super-2 number, since 2×135164700² = 36538992252180000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3296680 + ... + 3296720.

Almost surely, 2^135164700 is an apocalyptic number.

135164700 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 135164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251437032).

135164700 is an abundant number, since it is smaller than the sum of its proper divisors (367709364).

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

135164700 is a wasteful number, since it uses less digits than its factorization.

135164700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135164700 is about 11626.0354377578. The cubic root of 135164700 is about 513.2013162884.

The spelling of 135164700 in words is "one hundred thirty-five million, one hundred sixty-four thousand, seven hundred".