133994760157440 has 6048 divisors, whose sum is σ = 655877222810880. Its totient is φ = 25455776366592.

The previous prime is 133994760157369. The next prime is 133994760157441. The reversal of 133994760157440 is 44751067499331.

133994760157440 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 9 + 476 + 0 + 157 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (133994760157441) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 853469809842 + ... + 853469809998.

Almost surely, 2^{133994760157440} is an apocalyptic number.

133994760157440 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 133994760157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327938611405440).

133994760157440 is an abundant number, since it is smaller than the sum of its proper divisors (521882462653440).

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

133994760157440 is a wasteful number, since it uses less digits than its factorization.

133994760157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 133994760157440 in words is "one hundred thirty-three trillion, nine hundred ninety-four billion, seven hundred sixty million, one hundred fifty-seven thousand, four hundred forty".