135166309200 has 480 divisors, whose sum is σ = 525868425600. Its totient is φ = 32772833280.

The previous prime is 135166309183. The next prime is 135166309211. The reversal of 135166309200 is 2903661531.

135166309200 is a `hidden beast` number, since 1 + 3 + 5 + 16 + 630 + 9 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×135166309200² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 9399616 + ... + 9413984.

It is an arithmetic number, because the mean of its divisors is an integer number (1095559220).

Almost surely, 2^135166309200 is an apocalyptic number.

135166309200 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 135166309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262934212800).

135166309200 is an abundant number, since it is smaller than the sum of its proper divisors (390702116400).

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

135166309200 is a wasteful number, since it uses less digits than its factorization.

135166309200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14476 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 135166309200 in words is "one hundred thirty-five billion, one hundred sixty-six million, three hundred nine thousand, two hundred".