149391251541504 has 1600 divisors, whose sum is σ = 554580225593856. Its totient is φ = 39224650235904.

The previous prime is 149391251541457. The next prime is 149391251541529. The reversal of 149391251541504 is 405145152193941.

It is a happy number.

149391251541504 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 9 + 125 + 1 + 5 + 4 + 1 + 504 = 666.

149391251541504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51567568984 + ... + 51567571880.

Almost surely, 2^{149391251541504} is an apocalyptic number.

149391251541504 is a gapful number since it is divisible by the number (14) 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 149391251541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277290112796928).

149391251541504 is an abundant number, since it is smaller than the sum of its proper divisors (405188974052352).

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

149391251541504 is an frugal number, since it uses more digits than its factorization.

149391251541504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 149391251541504 in words is "one hundred forty-nine trillion, three hundred ninety-one billion, two hundred fifty-one million, five hundred forty-one thousand, five hundred four".