135892353024 has 240 divisors, whose sum is σ = 404449634400. Its totient is φ = 45093224448.

The previous prime is 135892352983. The next prime is 135892353043. The reversal of 135892353024 is 420353298531.

135892353024 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 92 + 3 + 530 + 24 = 666.

It is a super-2 number, since 2×135892353024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122535382 + ... + 122536490.

It is an arithmetic number, because the mean of its divisors is an integer number (1685206810).

Almost surely, 2^135892353024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135892353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202224817200).

135892353024 is an abundant number, since it is smaller than the sum of its proper divisors (268557281376).

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

135892353024 is an equidigital number, since it uses as much as digits as its factorization.

135892353024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 135892353024 in words is "one hundred thirty-five billion, eight hundred ninety-two million, three hundred fifty-three thousand, twenty-four".