157835340 has 144 divisors (see below), whose sum is σ = 529820928. Its totient is φ = 37780992.

The previous prime is 157835309. The next prime is 157835347. The reversal of 157835340 is 43538751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157835295 and 157835304.

It is not an unprimeable number, because it can be changed into a prime (157835347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85669 + ... + 87491.

It is an arithmetic number, because the mean of its divisors is an integer number (3679312).

Almost surely, 2^157835340 is an apocalyptic number.

157835340 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 157835340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264910464).

157835340 is an abundant number, since it is smaller than the sum of its proper divisors (371985588).

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

157835340 is a wasteful number, since it uses less digits than its factorization.

157835340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 157835340 is about 12563.2535594885. The cubic root of 157835340 is about 540.4241523517.

The spelling of 157835340 in words is "one hundred fifty-seven million, eight hundred thirty-five thousand, three hundred forty".