157194900 has 108 divisors (see below), whose sum is σ = 495085500. Its totient is φ = 41717760.

The previous prime is 157194889. The next prime is 157194953. The reversal of 157194900 is 9491751.

157194900 is a `hidden beast` number, since 157 + 19 + 490 + 0 = 666.

157194900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7817616 + 149377284 = 2796^2 + 12222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349876 + ... + 350324.

It is an arithmetic number, because the mean of its divisors is an integer number (4584125).

Almost surely, 2^157194900 is an apocalyptic number.

157194900 is a gapful number since it is divisible by the number (10) 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 157194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247542750).

157194900 is an abundant number, since it is smaller than the sum of its proper divisors (337890600).

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

157194900 is a wasteful number, since it uses less digits than its factorization.

157194900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157194900 is about 12537.7390306227. The cubic root of 157194900 is about 539.6922114316.

The spelling of 157194900 in words is "one hundred fifty-seven million, one hundred ninety-four thousand, nine hundred".