157119842040 has 512 divisors, whose sum is σ = 574901452800. Its totient is φ = 33579786240.

The previous prime is 157119842039. The next prime is 157119842041. The reversal of 157119842040 is 40248911751.

It is an interprime number because it is at equal distance from previous prime (157119842039) and next prime (157119842041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 157119841983 and 157119842001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157119842041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172469185 + ... + 172470095.

It is an arithmetic number, because the mean of its divisors is an integer number (1122854400).

Almost surely, 2^157119842040 is an apocalyptic number.

157119842040 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 157119842040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287450726400).

157119842040 is an abundant number, since it is smaller than the sum of its proper divisors (417781610760).

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

157119842040 is a wasteful number, since it uses less digits than its factorization.

157119842040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 157119842040 in words is "one hundred fifty-seven billion, one hundred nineteen million, eight hundred forty-two thousand, forty".