157001460 has 192 divisors, whose sum is σ = 580608000. Its totient is φ = 30689280.

The previous prime is 157001459. The next prime is 157001461. The reversal of 157001460 is 64100751.

It is an interprime number because it is at equal distance from previous prime (157001459) and next prime (157001461).

It is a self number, because there is not a number n which added to its sum of digits gives 157001460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157001461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77541 + ... + 79539.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^157001460 is an apocalyptic number.

157001460 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 157001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

157001460 is an abundant number, since it is smaller than the sum of its proper divisors (423606540).

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

157001460 is a wasteful number, since it uses less digits than its factorization.

157001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 157001460 is about 12530.0223463488. The cubic root of 157001460 is about 539.4707434454.

The spelling of 157001460 in words is "one hundred fifty-seven million, one thousand, four hundred sixty".