149481147686400 has 1920 divisors, whose sum is σ = 584896914201600. Its totient is φ = 37286579404800.

The previous prime is 149481147686399. The next prime is 149481147686413. The reversal of 149481147686400 is 4686741184941.

It is a happy number.

149481147686400 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 8 + 1 + 147 + 6 + 86 + 400 = 666.

149481147686400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×149481147686400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205613682837 + ... + 205613683563.

It is an arithmetic number, because the mean of its divisors is an integer number (304633809480).

Almost surely, 2^{149481147686400} is an apocalyptic number.

149481147686400 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 149481147686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292448457100800).

149481147686400 is an abundant number, since it is smaller than the sum of its proper divisors (435415766515200).

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

149481147686400 is a wasteful number, since it uses less digits than its factorization.

149481147686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 149481147686400 in words is "one hundred forty-nine trillion, four hundred eighty-one billion, one hundred forty-seven million, six hundred eighty-six thousand, four hundred".