168157440 has 216 divisors, whose sum is σ = 635177088. Its totient is φ = 40734720.

The previous prime is 168157417. The next prime is 168157453. The reversal of 168157440 is 44751861.

It is a happy number.

168157440 is a `hidden beast` number, since 1 + 6 + 81 + 574 + 4 + 0 = 666.

168157440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 168157395 and 168157404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126057 + ... + 127383.

Almost surely, 2^168157440 is an apocalyptic number.

168157440 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 168157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317588544).

168157440 is an abundant number, since it is smaller than the sum of its proper divisors (467019648).

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

168157440 is a wasteful number, since it uses less digits than its factorization.

168157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 168157440 is about 12967.5533544304. The cubic root of 168157440 is about 551.9571485324.

The spelling of 168157440 in words is "one hundred sixty-eight million, one hundred fifty-seven thousand, four hundred forty".