157744008900 has 189 divisors, whose sum is σ = 513571102653. Its totient is φ = 42036472800.

The previous prime is 157744008853. The next prime is 157744008911. The reversal of 157744008900 is 9800447751.

It is a happy number.

The square root of 157744008900 is 397170.

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

157744008900 is a `hidden beast` number, since 157 + 7 + 4 + 400 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56787843204 + 100956165696 = 238302^2 + 317736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 62 ways as a sum of consecutive naturals, for example, 107235165 + ... + 107236635.

Almost surely, 2^157744008900 is an apocalyptic number.

157744008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157744008900 is the 397170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157744008900

157744008900 is an abundant number, since it is smaller than the sum of its proper divisors (355827093753).

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

157744008900 is an frugal number, since it uses more digits than its factorization.

157744008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 157744008900 in words is "one hundred fifty-seven billion, seven hundred forty-four million, eight thousand, nine hundred".