157694416 has 80 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 68745600.

The previous prime is 157694413. The next prime is 157694419. The reversal of 157694416 is 614496751.

It is an interprime number because it is at equal distance from previous prime (157694413) and next prime (157694419).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157694413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506901 + ... + 507211.

Almost surely, 2^157694416 is an apocalyptic number.

157694416 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 157694416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

157694416 is an abundant number, since it is smaller than the sum of its proper divisors (189569072).

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

157694416 is a wasteful number, since it uses less digits than its factorization.

157694416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 157694416 is about 12557.6437280248. The cubic root of 157694416 is about 540.2632644062.

The spelling of 157694416 in words is "one hundred fifty-seven million, six hundred ninety-four thousand, four hundred sixteen".