135133441920 has 768 divisors, whose sum is σ = 502316380800. Its totient is φ = 33400553472.

The previous prime is 135133441913. The next prime is 135133441957. The reversal of 135133441920 is 29144331531.

135133441920 is a `hidden beast` number, since 13 + 513 + 3 + 4 + 41 + 92 + 0 = 666.

It is a super-2 number, since 2×135133441920² (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, 860722482 + ... + 860722638.

Almost surely, 2^135133441920 is an apocalyptic number.

135133441920 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 135133441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251158190400).

135133441920 is an abundant number, since it is smaller than the sum of its proper divisors (367182938880).

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

135133441920 is a wasteful number, since it uses less digits than its factorization.

135133441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 135133441920 in words is "one hundred thirty-five billion, one hundred thirty-three million, four hundred forty-one thousand, nine hundred twenty".