134690933514240 has 1120 divisors, whose sum is σ = 499497150620160. Its totient is φ = 34685190144000.

The previous prime is 134690933514143. The next prime is 134690933514257. The reversal of 134690933514240 is 42415339096431.

134690933514240 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 90 + 9 + 33 + 514 + 2 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61813185471 + ... + 61813187649.

It is an arithmetic number, because the mean of its divisors is an integer number (445979598768).

Almost surely, 2^{134690933514240} is an apocalyptic number.

134690933514240 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 134690933514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249748575310080).

134690933514240 is an abundant number, since it is smaller than the sum of its proper divisors (364806217105920).

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

134690933514240 is an equidigital number, since it uses as much as digits as its factorization.

134690933514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 134690933514240 in words is "one hundred thirty-four trillion, six hundred ninety billion, nine hundred thirty-three million, five hundred fourteen thousand, two hundred forty".