157835140 has 48 divisors (see below), whose sum is σ = 354436992. Its totient is φ = 58830336.

The previous prime is 157835107. The next prime is 157835173. The reversal of 157835140 is 41538751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157835107) and next prime (157835173).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 157835096 and 157835105.

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 15 ways as a sum of consecutive naturals, for example, 32767 + ... + 37273.

It is an arithmetic number, because the mean of its divisors is an integer number (7384104).

Almost surely, 2^157835140 is an apocalyptic number.

157835140 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 157835140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).

157835140 is an abundant number, since it is smaller than the sum of its proper divisors (196601852).

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

157835140 is a wasteful number, since it uses less digits than its factorization.

157835140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 157835140 is about 12563.2455997644. The cubic root of 157835140 is about 540.4239240866.

The spelling of 157835140 in words is "one hundred fifty-seven million, eight hundred thirty-five thousand, one hundred forty".