157018736 has 120 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 62487936.

The previous prime is 157018727. The next prime is 157018739. The reversal of 157018736 is 637810751.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 157018736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157018739) 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, 1236305 + ... + 1236431.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^157018736 is an apocalyptic number.

157018736 is a gapful number since it is divisible by the number (16) 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 157018736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

157018736 is an abundant number, since it is smaller than the sum of its proper divisors (222956944).

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

157018736 is a wasteful number, since it uses less digits than its factorization.

157018736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 157018736 is about 12530.7117116307. The cubic root of 157018736 is about 539.4905300018.

The spelling of 157018736 in words is "one hundred fifty-seven million, eighteen thousand, seven hundred thirty-six".