138013266000 has 160 divisors (see below), whose sum is σ = 447194592000. Its totient is φ = 36618278400.

The previous prime is 138013265981. The next prime is 138013266019. The reversal of 138013266000 is 662310831.

It is an interprime number because it is at equal distance from previous prime (138013265981) and next prime (138013266019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136206 + ... + 1251794.

It is an arithmetic number, because the mean of its divisors is an integer number (2794966200).

Almost surely, 2^138013266000 is an apocalyptic number.

138013266000 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 138013266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223597296000).

138013266000 is an abundant number, since it is smaller than the sum of its proper divisors (309181326000).

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

138013266000 is a wasteful number, since it uses less digits than its factorization.

138013266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115814 (or 115798 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 138013266000 its reverse (662310831), we get a palindrome (138675576831).

The spelling of 138013266000 in words is "one hundred thirty-eight billion, thirteen million, two hundred sixty-six thousand".