157508413920 has 960 divisors, whose sum is σ = 670996218816. Its totient is φ = 34279096320.

The previous prime is 157508413919. The next prime is 157508413921. The reversal of 157508413920 is 29314805751.

157508413920 is a `hidden beast` number, since 1 + 5 + 7 + 508 + 4 + 139 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157508413919) and next prime (157508413921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157508413921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68570212 + ... + 68572508.

Almost surely, 2^157508413920 is an apocalyptic number.

157508413920 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 157508413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335498109408).

157508413920 is an abundant number, since it is smaller than the sum of its proper divisors (513487804896).

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

157508413920 is a wasteful number, since it uses less digits than its factorization.

157508413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 157508413920 in words is "one hundred fifty-seven billion, five hundred eight million, four hundred thirteen thousand, nine hundred twenty".