135976034880 has 1008 divisors, whose sum is σ = 570676893696. Its totient is φ = 30725775360.

The previous prime is 135976034861. The next prime is 135976034899. The reversal of 135976034880 is 88430679531.

135976034880 is a `hidden beast` number, since 1 + 3 + 597 + 6 + 0 + 3 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135976034861) and next prime (135976034899).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×135976034880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483900340 + ... + 483900620.

It is an arithmetic number, because the mean of its divisors is an integer number (566147712).

Almost surely, 2^135976034880 is an apocalyptic number.

135976034880 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 135976034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285338446848).

135976034880 is an abundant number, since it is smaller than the sum of its proper divisors (434700858816).

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

135976034880 is a wasteful number, since it uses less digits than its factorization.

135976034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 135976034880 in words is "one hundred thirty-five billion, nine hundred seventy-six million, thirty-four thousand, eight hundred eighty".