157045866320 has 240 divisors, whose sum is σ = 428942077200. Its totient is φ = 53315297280.

The previous prime is 157045866287. The next prime is 157045866331. The reversal of 157045866320 is 23668540751.

It can be written as a sum of positive squares in 8 ways, for example, as 70428667456 + 86617198864 = 265384^2 + 294308^2 .

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 276002996 + ... + 276003564.

It is an arithmetic number, because the mean of its divisors is an integer number (1787258655).

Almost surely, 2^157045866320 is an apocalyptic number.

157045866320 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 157045866320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214471038600).

157045866320 is an abundant number, since it is smaller than the sum of its proper divisors (271896210880).

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

157045866320 is a wasteful number, since it uses less digits than its factorization.

157045866320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 157045866320 in words is "one hundred fifty-seven billion, forty-five million, eight hundred sixty-six thousand, three hundred twenty".