157950000 has 360 divisors, whose sum is σ = 617054256. Its totient is φ = 38880000.

The previous prime is 157949971. The next prime is 157950029. The reversal of 157950000 is 59751.

157950000 is a `hidden beast` number, since 157 + 9 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157949971) and next prime (157950029).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12149994 + ... + 12150006.

Almost surely, 2^157950000 is an apocalyptic number.

157950000 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 157950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308527128).

157950000 is an abundant number, since it is smaller than the sum of its proper divisors (459104256).

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

157950000 is an frugal number, since it uses more digits than its factorization.

157950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 157950000 is about 12567.8160393920. The cubic root of 157950000 is about 540.5549849744.

The spelling of 157950000 in words is "one hundred fifty-seven million, nine hundred fifty thousand".