149253847142400 has 7488 divisors, whose sum is σ = 787071960170496. Its totient is φ = 25990004736000.

The previous prime is 149253847142359. The next prime is 149253847142461. The reversal of 149253847142400 is 4241748352941.

It is a happy number.

149253847142400 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 5 + 384 + 7 + 14 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 486168883047 + ... + 486168883353.

It is an arithmetic number, because the mean of its divisors is an integer number (105111105792).

Almost surely, 2^{149253847142400} is an apocalyptic number.

149253847142400 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 149253847142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393535980085248).

149253847142400 is an abundant number, since it is smaller than the sum of its proper divisors (637818113028096).

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

149253847142400 is a wasteful number, since it uses less digits than its factorization.

149253847142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 149253847142400 in words is "one hundred forty-nine trillion, two hundred fifty-three billion, eight hundred forty-seven million, one hundred forty-two thousand, four hundred".