149558874368400 has 2160 divisors, whose sum is σ = 687844735119360. Its totient is φ = 30479879577600.

The previous prime is 149558874368291. The next prime is 149558874368401. The reversal of 149558874368400 is 4863478855941.

149558874368400 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 588 + 7 + 4 + 36 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (149558874368401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3736056385 + ... + 3736096415.

Almost surely, 2^{149558874368400} is an apocalyptic number.

149558874368400 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 149558874368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343922367559680).

149558874368400 is an abundant number, since it is smaller than the sum of its proper divisors (538285860750960).

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

149558874368400 is a wasteful number, since it uses less digits than its factorization.

149558874368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40124 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 149558874368400 in words is "one hundred forty-nine trillion, five hundred fifty-eight billion, eight hundred seventy-four million, three hundred sixty-eight thousand, four hundred".