157146316320 has 864 divisors, whose sum is σ = 623361977280. Its totient is φ = 33164328960.

The previous prime is 157146316309. The next prime is 157146316357. The reversal of 157146316320 is 23613641751.

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 143 ways as a sum of consecutive naturals, for example, 414633891 + ... + 414634269.

It is an arithmetic number, because the mean of its divisors is an integer number (721483770).

Almost surely, 2^157146316320 is an apocalyptic number.

157146316320 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 157146316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311680988640).

157146316320 is an abundant number, since it is smaller than the sum of its proper divisors (466215660960).

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

157146316320 is a wasteful number, since it uses less digits than its factorization.

157146316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 157146316320 in words is "one hundred fifty-seven billion, one hundred forty-six million, three hundred sixteen thousand, three hundred twenty".