134527979520 has 832 divisors, whose sum is σ = 552857114880. Its totient is φ = 30670848000.

The previous prime is 134527979507. The next prime is 134527979561. The reversal of 134527979520 is 25979725431.

134527979520 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 27 + 97 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103402870 + ... + 103404170.

Almost surely, 2^134527979520 is an apocalyptic number.

134527979520 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 134527979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276428557440).

134527979520 is an abundant number, since it is smaller than the sum of its proper divisors (418329135360).

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

134527979520 is a wasteful number, since it uses less digits than its factorization.

134527979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 134527979520 in words is "one hundred thirty-four billion, five hundred twenty-seven million, nine hundred seventy-nine thousand, five hundred twenty".