157765440 has 224 divisors, whose sum is σ = 606576384. Its totient is φ = 33914880.

The previous prime is 157765403. The next prime is 157765451. The reversal of 157765440 is 44567751.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113550 + ... + 114930.

Almost surely, 2^157765440 is an apocalyptic number.

157765440 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 157765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303288192).

157765440 is an abundant number, since it is smaller than the sum of its proper divisors (448810944).

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

157765440 is a wasteful number, since it uses less digits than its factorization.

157765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 157765440 is about 12560.4713287360. The cubic root of 157765440 is about 540.3443619698.

The spelling of 157765440 in words is "one hundred fifty-seven million, seven hundred sixty-five thousand, four hundred forty".