138367962000 has 240 divisors, whose sum is σ = 483810752880. Its totient is φ = 36857088000.

The previous prime is 138367961987. The next prime is 138367962041. The reversal of 138367962000 is 269763831.

138367962000 is a `hidden beast` number, since 1 + 383 + 67 + 9 + 6 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50770904976 + 87597057024 = 225324^2 + 295968^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18374236 + ... + 18381764.

It is an arithmetic number, because the mean of its divisors is an integer number (2015878137).

Almost surely, 2^138367962000 is an apocalyptic number.

138367962000 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 138367962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241905376440).

138367962000 is an abundant number, since it is smaller than the sum of its proper divisors (345442790880).

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

138367962000 is a wasteful number, since it uses less digits than its factorization.

138367962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 138367962000 in words is "one hundred thirty-eight billion, three hundred sixty-seven million, nine hundred sixty-two thousand".