157149419328 has 560 divisors, whose sum is σ = 519443939520. Its totient is φ = 46581350400.

The previous prime is 157149419257. The next prime is 157149419341. The reversal of 157149419328 is 823914941751.

157149419328 is a `hidden beast` number, since 1 + 57 + 149 + 419 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 814245600 + ... + 814245792.

Almost surely, 2^157149419328 is an apocalyptic number.

157149419328 is a gapful number since it is divisible by the number (18) 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 157149419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259721969760).

157149419328 is an abundant number, since it is smaller than the sum of its proper divisors (362294520192).

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

157149419328 is a wasteful number, since it uses less digits than its factorization.

157149419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 157149419328 in words is "one hundred fifty-seven billion, one hundred forty-nine million, four hundred nineteen thousand, three hundred twenty-eight".