157496350752 has 480 divisors, whose sum is σ = 525830393088. Its totient is φ = 45880141824.

The previous prime is 157496350673. The next prime is 157496350771. The reversal of 157496350752 is 257053694751.

It is a happy number.

157496350752 is a `hidden beast` number, since 1 + 5 + 74 + 9 + 63 + 507 + 5 + 2 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79824838 + ... + 79826810.

Almost surely, 2^157496350752 is an apocalyptic number.

157496350752 is a gapful number since it is divisible by the number (12) 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 157496350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262915196544).

157496350752 is an abundant number, since it is smaller than the sum of its proper divisors (368334042336).

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

157496350752 is a wasteful number, since it uses less digits than its factorization.

157496350752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 157496350752 in words is "one hundred fifty-seven billion, four hundred ninety-six million, three hundred fifty thousand, seven hundred fifty-two".