157394692900 has 81 divisors (see below), whose sum is σ = 345949719129. Its totient is φ = 62156482560.

The previous prime is 157394692849. The next prime is 157394692921. The reversal of 157394692900 is 9296493751.

It is a happy number.

The square root of 157394692900 is 396730.

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

It can be written as a sum of positive squares in 13 ways, for example, as 34956285156 + 122438407744 = 186966^2 + 349912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 384827896 + ... + 384828304.

Almost surely, 2^157394692900 is an apocalyptic number.

157394692900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157394692900 is the 396730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157394692900

157394692900 is an abundant number, since it is smaller than the sum of its proper divisors (188555026229).

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

157394692900 is an frugal number, since it uses more digits than its factorization.

157394692900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 157394692900 in words is "one hundred fifty-seven billion, three hundred ninety-four million, six hundred ninety-two thousand, nine hundred".