157947840 has 224 divisors, whose sum is σ = 565830720. Its totient is φ = 41472000.

The previous prime is 157947827. The next prime is 157947841. The reversal of 157947840 is 48749751.

It is a happy number.

157947840 is a `hidden beast` number, since 1 + 579 + 4 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157947841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872550 + ... + 872730.

It is an arithmetic number, because the mean of its divisors is an integer number (2526030).

Almost surely, 2^157947840 is an apocalyptic number.

157947840 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 157947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282915360).

157947840 is an abundant number, since it is smaller than the sum of its proper divisors (407882880).

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

157947840 is a wasteful number, since it uses less digits than its factorization.

157947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 157947840 is about 12567.7301053134. The cubic root of 157947840 is about 540.5525208948.

The spelling of 157947840 in words is "one hundred fifty-seven million, nine hundred forty-seven thousand, eight hundred forty".