13154192640 has 576 divisors, whose sum is σ = 48914718720. Its totient is φ = 3386105856.

The previous prime is 13154192627. The next prime is 13154192659. The reversal of 13154192640 is 4629145131.

It is a happy number.

13154192640 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 1 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 13154192595 and 13154192604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103576257 + ... + 103576383.

Almost surely, 2^13154192640 is an apocalyptic number.

13154192640 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 13154192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457359360).

13154192640 is an abundant number, since it is smaller than the sum of its proper divisors (35760526080).

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

13154192640 is an frugal number, since it uses more digits than its factorization.

13154192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13154192640 in words is "thirteen billion, one hundred fifty-four million, one hundred ninety-two thousand, six hundred forty".