13377296142 has 288 divisors, whose sum is σ = 36973946880. Its totient is φ = 3418796160.

The previous prime is 13377296137. The next prime is 13377296143. The reversal of 13377296142 is 24169277331.

13377296142 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 7 + 29 + 614 + 2 = 666.

Its product of digits (381024) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13377296143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74733409 + ... + 74733587.

It is an arithmetic number, because the mean of its divisors is an integer number (128381760).

Almost surely, 2^13377296142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13377296142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486973440).

13377296142 is an abundant number, since it is smaller than the sum of its proper divisors (23596650738).

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

13377296142 is a wasteful number, since it uses less digits than its factorization.

13377296142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 13377296142 in words is "thirteen billion, three hundred seventy-seven million, two hundred ninety-six thousand, one hundred forty-two".