157838436 has 96 divisors (see below), whose sum is σ = 472442880. Its totient is φ = 44636832.

The previous prime is 157838413. The next prime is 157838437. The reversal of 157838436 is 634838751.

157838436 is a `hidden beast` number, since 1 + 578 + 38 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157838391 and 157838400.

It is not an unprimeable number, because it can be changed into a prime (157838437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76855 + ... + 78881.

It is an arithmetic number, because the mean of its divisors is an integer number (4921280).

Almost surely, 2^157838436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157838436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236221440).

157838436 is an abundant number, since it is smaller than the sum of its proper divisors (314604444).

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

157838436 is a wasteful number, since it uses less digits than its factorization.

157838436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2142 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 157838436 is about 12563.3767753737. The cubic root of 157838436 is about 540.4276858701.

The spelling of 157838436 in words is "one hundred fifty-seven million, eight hundred thirty-eight thousand, four hundred thirty-six".