157854096 has 75 divisors (see below), whose sum is σ = 458188401. Its totient is φ = 52467264.

The previous prime is 157854089. The next prime is 157854097. The reversal of 157854096 is 690458751.

The square root of 157854096 is 12564.

It is a perfect power (a square), and thus also a powerful number.

157854096 is a `hidden beast` number, since 15 + 7 + 8 + 540 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115863696 + 41990400 = 10764^2 + 6480^2 .

It is not an unprimeable number, because it can be changed into a prime (157854097) 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 14 ways as a sum of consecutive naturals, for example, 452130 + ... + 452478.

Almost surely, 2^157854096 is an apocalyptic number.

157854096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157854096 is the 12564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157854096

157854096 is an abundant number, since it is smaller than the sum of its proper divisors (300334305).

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

157854096 is an frugal number, since it uses more digits than its factorization.

157854096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The cubic root of 157854096 is about 540.4455581913.

It can be divided in two parts, 15785 and 4096, that added together give a square (19881 = 141²).

The spelling of 157854096 in words is "one hundred fifty-seven million, eight hundred fifty-four thousand, ninety-six".