157945728 has 64 divisors (see below), whose sum is σ = 420970320. Its totient is φ = 52469760.

The previous prime is 157945717. The next prime is 157945729. The reversal of 157945728 is 827549751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157945729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161176 + ... + 162152.

Almost surely, 2^157945728 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 157945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210485160).

157945728 is an abundant number, since it is smaller than the sum of its proper divisors (263024592).

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

157945728 is an equidigital number, since it uses as much as digits as its factorization.

157945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 157945728 is about 12567.6460803127. The cubic root of 157945728 is about 540.5501115509.

The spelling of 157945728 in words is "one hundred fifty-seven million, nine hundred forty-five thousand, seven hundred twenty-eight".