135756890864 has 80 divisors (see below), whose sum is σ = 312671225856. Its totient is φ = 55874707200.

The previous prime is 135756890831. The next prime is 135756890869. The reversal of 135756890864 is 468098657531.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 135756890797 and 135756890806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135756890869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 305594 + ... + 604070.

Almost surely, 2^135756890864 is an apocalyptic number.

135756890864 is a gapful number since it is divisible by the number (14) 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 135756890864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156335612928).

135756890864 is an abundant number, since it is smaller than the sum of its proper divisors (176914334992).

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

135756890864 is a wasteful number, since it uses less digits than its factorization.

135756890864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298654 (or 298648 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 135756890864 in words is "one hundred thirty-five billion, seven hundred fifty-six million, eight hundred ninety thousand, eight hundred sixty-four".