157847040 has 480 divisors, whose sum is σ = 643458816. Its totient is φ = 35389440.

The previous prime is 157847017. The next prime is 157847059. The reversal of 157847040 is 40748751.

157847040 is a `hidden beast` number, since 1 + 578 + 47 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157846986 and 157847004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5091825 + ... + 5091855.

Almost surely, 2^157847040 is an apocalyptic number.

157847040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157847040 is the 7254-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

157847040 is an abundant number, since it is smaller than the sum of its proper divisors (485611776).

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

157847040 is a wasteful number, since it uses less digits than its factorization.

157847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 157847040 is about 12563.7191945697. The cubic root of 157847040 is about 540.4375055216.

The spelling of 157847040 in words is "one hundred fifty-seven million, eight hundred forty-seven thousand, forty".