157811040 has 144 divisors (see below), whose sum is σ = 557247600. Its totient is φ = 40621056.

The previous prime is 157811029. The next prime is 157811053. The reversal of 157811040 is 40118751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 157810995 and 157811013.

It is a congruent number.

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, 39871 + ... + 43649.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^157811040 is an apocalyptic number.

157811040 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 157811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278623800).

157811040 is an abundant number, since it is smaller than the sum of its proper divisors (399436560).

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

157811040 is a wasteful number, since it uses less digits than its factorization.

157811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 157811040 is about 12562.2864160948. The cubic root of 157811040 is about 540.3964167362.

Adding to 157811040 its reverse (40118751), we get a palindrome (197929791).

The spelling of 157811040 in words is "one hundred fifty-seven million, eight hundred eleven thousand, forty".