1540161972 has 48 divisors (see below), whose sum is σ = 4166628480. Its totient is φ = 491065344.

The previous prime is 1540161947. The next prime is 1540162049. The reversal of 1540161972 is 2791610451.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307533 + ... + 312500.

It is an arithmetic number, because the mean of its divisors is an integer number (86804760).

Almost surely, 2^1540161972 is an apocalyptic number.

1540161972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1540161972 is an abundant number, since it is smaller than the sum of its proper divisors (2626466508).

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

1540161972 is a wasteful number, since it uses less digits than its factorization.

1540161972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620069 (or 620061 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1540161972 is about 39244.8974008087. The cubic root of 1540161972 is about 1154.8408348727.

The spelling of 1540161972 in words is "one billion, five hundred forty million, one hundred sixty-one thousand, nine hundred seventy-two".