157794240 has 224 divisors, whose sum is σ = 542787840. Its totient is φ = 38707200.

The previous prime is 157794229. The next prime is 157794277. The reversal of 157794240 is 42497751.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747735 + ... + 747945.

It is an arithmetic number, because the mean of its divisors is an integer number (2423160).

Almost surely, 2^157794240 is an apocalyptic number.

157794240 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 157794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271393920).

157794240 is an abundant number, since it is smaller than the sum of its proper divisors (384993600).

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

157794240 is a wasteful number, since it uses less digits than its factorization.

157794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 157794240 is about 12561.6177302129. The cubic root of 157794240 is about 540.3772398312.

The spelling of 157794240 in words is "one hundred fifty-seven million, seven hundred ninety-four thousand, two hundred forty".