157050000 has 180 divisors, whose sum is σ = 550941300. Its totient is φ = 41760000.

The previous prime is 157049951. The next prime is 157050037. The reversal of 157050000 is 50751.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 113806224 + 43243776 = 10668^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 449826 + ... + 450174.

It is an arithmetic number, because the mean of its divisors is an integer number (3060785).

Almost surely, 2^157050000 is an apocalyptic number.

157050000 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 157050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275470650).

157050000 is an abundant number, since it is smaller than the sum of its proper divisors (393891300).

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

157050000 is an equidigital number, since it uses as much as digits as its factorization.

157050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 157050000 is about 12531.9591445233. The cubic root of 157050000 is about 539.5263336115.

The spelling of 157050000 in words is "one hundred fifty-seven million, fifty thousand".