135835924000 has 192 divisors, whose sum is σ = 393733896192. Its totient is φ = 45069696000.

The previous prime is 135835923967. The next prime is 135835924009. The reversal of 135835924000 is 429538531.

It is a super-3 number, since 3×135835924000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (135835924009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789754 + ... + 946246.

It is an arithmetic number, because the mean of its divisors is an integer number (2050697376).

Almost surely, 2^135835924000 is an apocalyptic number.

135835924000 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 135835924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196866948096).

135835924000 is an abundant number, since it is smaller than the sum of its proper divisors (257897972192).

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

135835924000 is a wasteful number, since it uses less digits than its factorization.

135835924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156556 (or 156538 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 135835924000 in words is "one hundred thirty-five billion, eight hundred thirty-five million, nine hundred twenty-four thousand".