149742095840400 has 1440 divisors, whose sum is σ = 592875257364480. Its totient is φ = 32165392896000.

The previous prime is 149742095840353. The next prime is 149742095840419. The reversal of 149742095840400 is 4048590247941.

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 287 ways as a sum of consecutive naturals, for example, 8784064677 + ... + 8784081723.

Almost surely, 2^{149742095840400} is an apocalyptic number.

149742095840400 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 149742095840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296437628682240).

149742095840400 is an abundant number, since it is smaller than the sum of its proper divisors (443133161524080).

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

149742095840400 is a wasteful number, since it uses less digits than its factorization.

149742095840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 149742095840400 in words is "one hundred forty-nine trillion, seven hundred forty-two billion, ninety-five million, eight hundred forty thousand, four hundred".