149492988288 has 640 divisors, whose sum is σ = 524485632000. Its totient is φ = 42247941120.

The previous prime is 149492988283. The next prime is 149492988301. The reversal of 149492988288 is 882889294941.

149492988288 is a `hidden beast` number, since 1 + 49 + 492 + 98 + 8 + 2 + 8 + 8 = 666.

149492988288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×149492988288³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (149492988283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 451640283 + ... + 451640613.

It is an arithmetic number, because the mean of its divisors is an integer number (819508800).

Almost surely, 2^149492988288 is an apocalyptic number.

149492988288 is a gapful number since it is divisible by the number (18) 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 149492988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262242816000).

149492988288 is an abundant number, since it is smaller than the sum of its proper divisors (374992643712).

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

149492988288 is an equidigital number, since it uses as much as digits as its factorization.

149492988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 470 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 149492988288 in words is "one hundred forty-nine billion, four hundred ninety-two million, nine hundred eighty-eight thousand, two hundred eighty-eight".