157707124848 has 1280 divisors, whose sum is σ = 622182400000. Its totient is φ = 37858544640.

The previous prime is 157707124741. The next prime is 157707124859. The reversal of 157707124848 is 848421707751.

It is a happy number.

157707124848 is a `hidden beast` number, since 1 + 577 + 0 + 7 + 1 + 24 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 157707124794 and 157707124803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1134583563 + ... + 1134583701.

It is an arithmetic number, because the mean of its divisors is an integer number (486080000).

Almost surely, 2^157707124848 is an apocalyptic number.

157707124848 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 157707124848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311091200000).

157707124848 is an abundant number, since it is smaller than the sum of its proper divisors (464475275152).

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

157707124848 is a wasteful number, since it uses less digits than its factorization.

157707124848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 157707124848 in words is "one hundred fifty-seven billion, seven hundred seven million, one hundred twenty-four thousand, eight hundred forty-eight".