135754164 has 192 divisors, whose sum is σ = 456601600. Its totient is φ = 33872256.

The previous prime is 135754123. The next prime is 135754181. The reversal of 135754164 is 461457531.

135754164 is a `hidden beast` number, since 1 + 3 + 57 + 541 + 64 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186369 + ... + 187095.

Almost surely, 2^135754164 is an apocalyptic number.

135754164 is a gapful number since it is divisible by the number (14) 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 135754164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228300800).

135754164 is an abundant number, since it is smaller than the sum of its proper divisors (320847436).

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

135754164 is a wasteful number, since it uses less digits than its factorization.

135754164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135754164 is about 11651.3588907046. The cubic root of 135754164 is about 513.9462716428.

The spelling of 135754164 in words is "one hundred thirty-five million, seven hundred fifty-four thousand, one hundred sixty-four".