1540145256 has 128 divisors (see below), whose sum is σ = 4273274880. Its totient is φ = 459599616.

The previous prime is 1540145221. The next prime is 1540145333. The reversal of 1540145256 is 6525410451.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861915 + ... + 1862741.

It is an arithmetic number, because the mean of its divisors is an integer number (33384960).

Almost surely, 2^1540145256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540145256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136637440).

1540145256 is an abundant number, since it is smaller than the sum of its proper divisors (2733129624).

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

1540145256 is a wasteful number, since it uses less digits than its factorization.

1540145256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 1540145256 is about 39244.6844298690. The cubic root of 1540145256 is about 1154.8366568729.

The spelling of 1540145256 in words is "one billion, five hundred forty million, one hundred forty-five thousand, two hundred fifty-six".