157819148928 has 512 divisors, whose sum is σ = 554159308800. Its totient is φ = 43266908160.

The previous prime is 157819148887. The next prime is 157819148947. The reversal of 157819148928 is 829841918751.

157819148928 is a `hidden beast` number, since 1 + 57 + 81 + 9 + 1 + 489 + 28 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95243076 + ... + 95244732.

It is an arithmetic number, because the mean of its divisors is an integer number (1082342400).

Almost surely, 2^157819148928 is an apocalyptic number.

157819148928 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 157819148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277079654400).

157819148928 is an abundant number, since it is smaller than the sum of its proper divisors (396340159872).

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

157819148928 is a wasteful number, since it uses less digits than its factorization.

157819148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1827 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 63.

The spelling of 157819148928 in words is "one hundred fifty-seven billion, eight hundred nineteen million, one hundred forty-eight thousand, nine hundred twenty-eight".