149144486400 has 1440 divisors, whose sum is σ = 674881054848. Its totient is φ = 30611865600.

The previous prime is 149144486357. The next prime is 149144486429. The reversal of 149144486400 is 4684441941.

It is a happy number.

149144486400 is a `hidden beast` number, since 1 + 4 + 91 + 44 + 486 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 429811027 + ... + 429811373.

Almost surely, 2^149144486400 is an apocalyptic number.

149144486400 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 149144486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337440527424).

149144486400 is an abundant number, since it is smaller than the sum of its proper divisors (525736568448).

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

149144486400 is a wasteful number, since it uses less digits than its factorization.

149144486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 149144486400 in words is "one hundred forty-nine billion, one hundred forty-four million, four hundred eighty-six thousand, four hundred".