540152100 has 54 divisors (see below), whose sum is σ = 1693079570. Its totient is φ = 144040320.

The previous prime is 540152099. The next prime is 540152113. The reversal of 540152100 is 1251045.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 540004644 = 384^2 + 23238^2 .

It is a super-2 number, since 2×540152100² = 583528582268820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 299185 + ... + 300984.

Almost surely, 2^540152100 is an apocalyptic number.

540152100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540152100 is an abundant number, since it is smaller than the sum of its proper divisors (1152927470).

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

540152100 is a wasteful number, since it uses less digits than its factorization.

540152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600189 (or 600179 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 540152100 is about 23241.1725177539. The cubic root of 540152100 is about 814.4017338974.

The spelling of 540152100 in words is "five hundred forty million, one hundred fifty-two thousand, one hundred".