157386240 has 480 divisors, whose sum is σ = 643458816. Its totient is φ = 36495360.

The previous prime is 157386239. The next prime is 157386247. The reversal of 157386240 is 42683751.

157386240 is a `hidden beast` number, since 1 + 573 + 86 + 2 + 4 + 0 = 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 = 157386195 and 157386204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157386247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842869 + ... + 6842891.

Almost surely, 2^157386240 is an apocalyptic number.

157386240 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 157386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

157386240 is an abundant number, since it is smaller than the sum of its proper divisors (486072576).

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

157386240 is an equidigital number, since it uses as much as digits as its factorization.

157386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 157386240 is about 12545.3672724237. The cubic root of 157386240 is about 539.9110964752.

The spelling of 157386240 in words is "one hundred fifty-seven million, three hundred eighty-six thousand, two hundred forty".