157808640 has 192 divisors, whose sum is σ = 551940480. Its totient is φ = 38174720.

The previous prime is 157808627. The next prime is 157808641. The reversal of 157808640 is 46808751.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157808641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337687 + ... + 338153.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^157808640 is an apocalyptic number.

157808640 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 157808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

157808640 is an abundant number, since it is smaller than the sum of its proper divisors (394131840).

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

157808640 is a wasteful number, since it uses less digits than its factorization.

157808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 157808640 is about 12562.1908917195. The cubic root of 157808640 is about 540.3936772617.

The spelling of 157808640 in words is "one hundred fifty-seven million, eight hundred eight thousand, six hundred forty".