135757739880 has 640 divisors, whose sum is σ = 536310720000. Its totient is φ = 30786739200.

The previous prime is 135757739839. The next prime is 135757739903. The reversal of 135757739880 is 88937757531.

135757739880 is a `hidden beast` number, since 1 + 3 + 57 + 577 + 3 + 9 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167808916 + ... + 167809724.

It is an arithmetic number, because the mean of its divisors is an integer number (837985500).

Almost surely, 2^135757739880 is an apocalyptic number.

135757739880 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 135757739880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268155360000).

135757739880 is an abundant number, since it is smaller than the sum of its proper divisors (400552980120).

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

135757739880 is a wasteful number, since it uses less digits than its factorization.

135757739880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 135757739880 in words is "one hundred thirty-five billion, seven hundred fifty-seven million, seven hundred thirty-nine thousand, eight hundred eighty".