135338757120 has 1408 divisors, whose sum is σ = 614060697600. Its totient is φ = 27518828544.

The previous prime is 135338757119. The next prime is 135338757131. The reversal of 135338757120 is 21757833531.

135338757120 is a `hidden beast` number, since 1 + 3 + 53 + 3 + 8 + 7 + 571 + 20 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312560424 + ... + 312560856.

Almost surely, 2^135338757120 is an apocalyptic number.

135338757120 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 135338757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307030348800).

135338757120 is an abundant number, since it is smaller than the sum of its proper divisors (478721940480).

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

135338757120 is a wasteful number, since it uses less digits than its factorization.

135338757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135338757120 in words is "one hundred thirty-five billion, three hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred twenty".