157242540 has 192 divisors, whose sum is σ = 559964160. Its totient is φ = 32071680.

The previous prime is 157242539. The next prime is 157242583. The reversal of 157242540 is 45242751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 157242498 and 157242507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168796 + ... + 169724.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2^157242540 is an apocalyptic number.

157242540 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 157242540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080).

157242540 is an abundant number, since it is smaller than the sum of its proper divisors (402721620).

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

157242540 is a wasteful number, since it uses less digits than its factorization.

157242540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 157242540 is about 12539.6387507775. The cubic root of 157242540 is about 539.7467262198.

The spelling of 157242540 in words is "one hundred fifty-seven million, two hundred forty-two thousand, five hundred forty".