1540142604 has 288 divisors, whose sum is σ = 5303101440. Its totient is φ = 363916800.

The previous prime is 1540142599. The next prime is 1540142627. The reversal of 1540142604 is 4062410451.

1540142604 is a `hidden beast` number, since 1 + 5 + 40 + 14 + 2 + 604 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2846574 + ... + 2847114.

Almost surely, 2^1540142604 is an apocalyptic number.

1540142604 is a gapful number since it is divisible by the number (14) 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 1540142604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651550720).

1540142604 is an abundant number, since it is smaller than the sum of its proper divisors (3762958836).

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

1540142604 is a wasteful number, since it uses less digits than its factorization.

1540142604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1540142604 is about 39244.6506418391. The cubic root of 1540142604 is about 1154.8359940288.

The spelling of 1540142604 in words is "one billion, five hundred forty million, one hundred forty-two thousand, six hundred four".