152457038855520 has 1536 divisors, whose sum is σ = 594382808678400. Its totient is φ = 32114942705664.

The previous prime is 152457038855519. The next prime is 152457038855579. The reversal of 152457038855520 is 25558830754251.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30028959222 + ... + 30028964298.

It is an arithmetic number, because the mean of its divisors is an integer number (386967974400).

Almost surely, 2^{152457038855520} is an apocalyptic number.

152457038855520 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 152457038855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297191404339200).

152457038855520 is an abundant number, since it is smaller than the sum of its proper divisors (441925769822880).

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

152457038855520 is a wasteful number, since it uses less digits than its factorization.

152457038855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 67200000, while the sum is 60.

The spelling of 152457038855520 in words is "one hundred fifty-two trillion, four hundred fifty-seven billion, thirty-eight million, eight hundred fifty-five thousand, five hundred twenty".