134242859520 has 960 divisors, whose sum is σ = 599269144320. Its totient is φ = 27882455040.

The previous prime is 134242859507. The next prime is 134242859533. The reversal of 134242859520 is 25958242431.

134242859520 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 42 + 85 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (134242859507) and next prime (134242859533).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×134242859520² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58543494 + ... + 58545786.

It is an arithmetic number, because the mean of its divisors is an integer number (624238692).

Almost surely, 2^134242859520 is an apocalyptic number.

134242859520 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 134242859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299634572160).

134242859520 is an abundant number, since it is smaller than the sum of its proper divisors (465026284800).

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

134242859520 is a wasteful number, since it uses less digits than its factorization.

134242859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 134242859520 in words is "one hundred thirty-four billion, two hundred forty-two million, eight hundred fifty-nine thousand, five hundred twenty".