135921491449920 has 5376 divisors, whose sum is σ = 599260584738816. Its totient is φ = 28970016768000.

The previous prime is 135921491449789. The next prime is 135921491449937. The reversal of 135921491449920 is 29944194129531.

135921491449920 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 2 + 14 + 91 + 449 + 92 + 0 = 666.

It is a super-3 number, since 3×135921491449920³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1861938239004 + ... + 1861938239076.

It is an arithmetic number, because the mean of its divisors is an integer number (111469602816).

Almost surely, 2^{135921491449920} is an apocalyptic number.

135921491449920 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 135921491449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299630292369408).

135921491449920 is an abundant number, since it is smaller than the sum of its proper divisors (463339093288896).

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

135921491449920 is a wasteful number, since it uses less digits than its factorization.

135921491449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 135921491449920 in words is "one hundred thirty-five trillion, nine hundred twenty-one billion, four hundred ninety-one million, four hundred forty-nine thousand, nine hundred twenty".