134956523520 has 1344 divisors, whose sum is σ = 601111929600. Its totient is φ = 28283240448.

The previous prime is 134956523509. The next prime is 134956523531. The reversal of 134956523520 is 25325659431.

134956523520 is a `hidden beast` number, since 1 + 3 + 49 + 5 + 65 + 23 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (134956523509) and next prime (134956523531).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748406 + ... + 905748554.

It is an arithmetic number, because the mean of its divisors is an integer number (447255900).

Almost surely, 2^134956523520 is an apocalyptic number.

134956523520 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 134956523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300555964800).

134956523520 is an abundant number, since it is smaller than the sum of its proper divisors (466155406080).

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

134956523520 is an equidigital number, since it uses as much as digits as its factorization.

134956523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 134956523520 in words is "one hundred thirty-four billion, nine hundred fifty-six million, five hundred twenty-three thousand, five hundred twenty".