134309508157440 has 2496 divisors, whose sum is σ = 596659175424000. Its totient is φ = 27701968896000.

The previous prime is 134309508157427. The next prime is 134309508157471. The reversal of 134309508157440 is 44751805903431.

134309508157440 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 95 + 0 + 81 + 5 + 7 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105011342721 + ... + 105011343999.

It is an arithmetic number, because the mean of its divisors is an integer number (239046144000).

Almost surely, 2^{134309508157440} is an apocalyptic number.

134309508157440 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 134309508157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298329587712000).

134309508157440 is an abundant number, since it is smaller than the sum of its proper divisors (462349667266560).

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

134309508157440 is a wasteful number, since it uses less digits than its factorization.

134309508157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 134309508157440 in words is "one hundred thirty-four trillion, three hundred nine billion, five hundred eight million, one hundred fifty-seven thousand, four hundred forty".