152133549761440 has 192 divisors, whose sum is σ = 404040816295200. Its totient is φ = 53758242570240.

The previous prime is 152133549761423. The next prime is 152133549761527. The reversal of 152133549761440 is 44167945331251.

It can be written as a sum of positive squares in 16 ways, for example, as 2662288249104 + 149471261512336 = 1631652^2 + 12225844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11508615 + ... + 20897734.

Almost surely, 2^{152133549761440} is an apocalyptic number.

152133549761440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152133549761440 is an abundant number, since it is smaller than the sum of its proper divisors (251907266533760).

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

152133549761440 is a wasteful number, since it uses less digits than its factorization.

152133549761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32406475 (or 32406467 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 152133549761440 in words is "one hundred fifty-two trillion, one hundred thirty-three billion, five hundred forty-nine million, seven hundred sixty-one thousand, four hundred forty".