13377000 has 256 divisors, whose sum is σ = 52416000. Its totient is φ = 2822400.

The previous prime is 13376989. The next prime is 13377047. The reversal of 13377000 is 77331.

13377000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1028994 + ... + 1029006.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^13377000 is an apocalyptic number.

13377000 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 13377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

13377000 is an abundant number, since it is smaller than the sum of its proper divisors (39039000).

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

13377000 is a wasteful number, since it uses less digits than its factorization.

13377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 13377000 is about 3657.4581337317. The cubic root of 13377000 is about 237.3848010110.

The spelling of 13377000 in words is "thirteen million, three hundred seventy-seven thousand".