1357254540 has 72 divisors (see below), whose sum is σ = 4126541328. Its totient is φ = 361096320.

The previous prime is 1357254499. The next prime is 1357254553. The reversal of 1357254540 is 454527531.

1357254540 is a `hidden beast` number, since 1 + 3 + 5 + 72 + 545 + 40 = 666.

It is a super-2 number, since 2×1357254540² = 3684279772701223200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1357254495 and 1357254504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71230 + ... + 88250.

It is an arithmetic number, because the mean of its divisors is an integer number (57313074).

Almost surely, 2^1357254540 is an apocalyptic number.

1357254540 is a gapful number since it is divisible by the number (10) 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 1357254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063270664).

1357254540 is an abundant number, since it is smaller than the sum of its proper divisors (2769286788).

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

1357254540 is a wasteful number, since it uses less digits than its factorization.

1357254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17479 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 1357254540 is about 36840.9356558706. The cubic root of 1357254540 is about 1107.1856143004.

The spelling of 1357254540 in words is "one billion, three hundred fifty-seven million, two hundred fifty-four thousand, five hundred forty".