1254133540 has 36 divisors (see below), whose sum is σ = 2894877468. Its totient is φ = 456047680.

The previous prime is 1254133519. The next prime is 1254133547. The reversal of 1254133540 is 453314521.

It can be written as a sum of positive squares in 2 ways, for example, as 415915236 + 838218304 = 20394^2 + 28952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1254133499 and 1254133508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254133547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256699 + ... + 261538.

It is an arithmetic number, because the mean of its divisors is an integer number (80413263).

Almost surely, 2^1254133540 is an apocalyptic number.

1254133540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254133540 is an abundant number, since it is smaller than the sum of its proper divisors (1640743928).

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

1254133540 is a wasteful number, since it uses less digits than its factorization.

1254133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518268 (or 518255 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1254133540 is about 35413.7478954149. The cubic root of 1254133540 is about 1078.4034308421.

The spelling of 1254133540 in words is "one billion, two hundred fifty-four million, one hundred thirty-three thousand, five hundred forty".