149022244800 has 2520 divisors, whose sum is σ = 702515067408. Its totient is φ = 30656102400.

The previous prime is 149022244729. The next prime is 149022244801. The reversal of 149022244800 is 8442220941.

It is a super-2 number, since 2×149022244800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149022244801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3465633579 + ... + 3465633621.

Almost surely, 2^149022244800 is an apocalyptic number.

149022244800 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 149022244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351257533704).

149022244800 is an abundant number, since it is smaller than the sum of its proper divisors (553492822608).

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

149022244800 is a wasteful number, since it uses less digits than its factorization.

149022244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 149022244800 in words is "one hundred forty-nine billion, twenty-two million, two hundred forty-four thousand, eight hundred".