139849772400 has 600 divisors, whose sum is σ = 572342523984. Its totient is φ = 32397926400.

The previous prime is 139849772399. The next prime is 139849772453. The reversal of 139849772400 is 4277948931.

139849772400 is a `hidden beast` number, since 1 + 3 + 9 + 84 + 97 + 72 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7150635 + ... + 7170165.

Almost surely, 2^139849772400 is an apocalyptic number.

139849772400 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 139849772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286171261992).

139849772400 is an abundant number, since it is smaller than the sum of its proper divisors (432492751584).

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

139849772400 is a wasteful number, since it uses less digits than its factorization.

139849772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19591 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 139849772400 in words is "one hundred thirty-nine billion, eight hundred forty-nine million, seven hundred seventy-two thousand, four hundred".