149399582457600 has 2160 divisors, whose sum is σ = 605569387078656. Its totient is φ = 36178182144000.

The previous prime is 149399582457589. The next prime is 149399582457613. The reversal of 149399582457600 is 6754285993941.

149399582457600 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 9 + 9 + 5 + 8 + 2 + 4 + 5 + 7 + 600 = 666.

149399582457600 is digitally balanced in base 3, 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 (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127582905015 + ... + 127582906185.

It is a 1-persistent number, because it is pandigital, but 2⋅149399582457600 = 298799164915200 is not.

Almost surely, 2^{149399582457600} is an apocalyptic number.

149399582457600 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 149399582457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302784693539328).

149399582457600 is an abundant number, since it is smaller than the sum of its proper divisors (456169804621056).

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

149399582457600 is a wasteful number, since it uses less digits than its factorization.

149399582457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 149399582457600 in words is "one hundred forty-nine trillion, three hundred ninety-nine billion, five hundred eighty-two million, four hundred fifty-seven thousand, six hundred".