139145472000 has 768 divisors, whose sum is σ = 528023059200. Its totient is φ = 36126720000.

The previous prime is 139145471977. The next prime is 139145472001. The reversal of 139145472000 is 274541931.

139145472000 is a `hidden beast` number, since 1 + 3 + 91 + 4 + 547 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×139145472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139145472001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283391755 + ... + 283392245.

It is an arithmetic number, because the mean of its divisors is an integer number (687530025).

Almost surely, 2^139145472000 is an apocalyptic number.

139145472000 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 139145472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264011529600).

139145472000 is an abundant number, since it is smaller than the sum of its proper divisors (388877587200).

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

139145472000 is an equidigital number, since it uses as much as digits as its factorization.

139145472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 139145472000 in words is "one hundred thirty-nine billion, one hundred forty-five million, four hundred seventy-two thousand".