149427919872 has 1056 divisors, whose sum is σ = 566520514560. Its totient is φ = 36818288640.

The previous prime is 149427919871. The next prime is 149427919913. The reversal of 149427919872 is 278919724941.

149427919872 is a `hidden beast` number, since 1 + 49 + 427 + 91 + 9 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149427919871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1800336343 + ... + 1800336425.

It is an arithmetic number, because the mean of its divisors is an integer number (536477760).

Almost surely, 2^149427919872 is an apocalyptic number.

149427919872 is a gapful number since it is divisible by the number (12) 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 149427919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283260257280).

149427919872 is an abundant number, since it is smaller than the sum of its proper divisors (417092594688).

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

149427919872 is a wasteful number, since it uses less digits than its factorization.

149427919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

It can be divided in two parts, 1494279 and 19872, that added together give a palindrome (1514151).

The spelling of 149427919872 in words is "one hundred forty-nine billion, four hundred twenty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".