13025154240 has 448 divisors, whose sum is σ = 52768926720. Its totient is φ = 2962759680.

The previous prime is 13025154239. The next prime is 13025154269. The reversal of 13025154240 is 4245152031.

13025154240 is a `hidden beast` number, since 1 + 30 + 2 + 51 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×13025154240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17115460 + ... + 17116220.

Almost surely, 2^13025154240 is an apocalyptic number.

13025154240 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 13025154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384463360).

13025154240 is an abundant number, since it is smaller than the sum of its proper divisors (39743772480).

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

13025154240 is a wasteful number, since it uses less digits than its factorization.

13025154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 13025154240 in words is "thirteen billion, twenty-five million, one hundred fifty-four thousand, two hundred forty".