157851760 has 120 divisors (see below), whose sum is σ = 421535520. Its totient is φ = 54827520.

The previous prime is 157851751. The next prime is 157851767. The reversal of 157851760 is 67158751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157851767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222286 + ... + 222994.

It is an arithmetic number, because the mean of its divisors is an integer number (3512796).

Almost surely, 2^157851760 is an apocalyptic number.

157851760 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 157851760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210767760).

157851760 is an abundant number, since it is smaller than the sum of its proper divisors (263683760).

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

157851760 is a wasteful number, since it uses less digits than its factorization.

157851760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The square root of 157851760 is about 12563.9070356319. The cubic root of 157851760 is about 540.4428922547.

The spelling of 157851760 in words is "one hundred fifty-seven million, eight hundred fifty-one thousand, seven hundred sixty".