149946298440 has 192 divisors, whose sum is σ = 477968783040. Its totient is φ = 37619197440.

The previous prime is 149946298433. The next prime is 149946298477. The reversal of 149946298440 is 44892649941.

149946298440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 387229²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3852919 + ... + 3891641.

It is an arithmetic number, because the mean of its divisors is an integer number (2489420745).

Almost surely, 2^149946298440 is an apocalyptic number.

149946298440 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 149946298440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238984391520).

149946298440 is an abundant number, since it is smaller than the sum of its proper divisors (328022484600).

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

149946298440 is a wasteful number, since it uses less digits than its factorization.

149946298440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38844 (or 38817 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 149946298440 in words is "one hundred forty-nine billion, nine hundred forty-six million, two hundred ninety-eight thousand, four hundred forty".