157034741760 has 348 divisors, whose sum is σ = 586263034812. Its totient is φ = 38654705664.

The previous prime is 157034741749. The next prime is 157034741861. The reversal of 157034741760 is 67147430751.

157034741760 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 3 + 474 + 176 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38654705664 + 118380036096 = 196608^2 + 344064^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12079595514 + ... + 12079595526.

Almost surely, 2^157034741760 is an apocalyptic number.

157034741760 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 157034741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293131517406).

157034741760 is an abundant number, since it is smaller than the sum of its proper divisors (429228293052).

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

157034741760 is an frugal number, since it uses more digits than its factorization.

157034741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 157034741760 in words is "one hundred fifty-seven billion, thirty-four million, seven hundred forty-one thousand, seven hundred sixty".