149995690541424 has 960 divisors, whose sum is σ = 557326328832000. Its totient is φ = 36559027980288.

The previous prime is 149995690541413. The next prime is 149995690541429. The reversal of 149995690541424 is 424145096599941.

149995690541424 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 9 + 56 + 9 + 0 + 541 + 4 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149995690541429) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1718139727 + ... + 1718227025.

It is an arithmetic number, because the mean of its divisors is an integer number (580548259200).

Almost surely, 2^{149995690541424} is an apocalyptic number.

149995690541424 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 149995690541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278663164416000).

149995690541424 is an abundant number, since it is smaller than the sum of its proper divisors (407330638290576).

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

149995690541424 is a wasteful number, since it uses less digits than its factorization.

149995690541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87522 (or 87513 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 149995690541424 in words is "one hundred forty-nine trillion, nine hundred ninety-five billion, six hundred ninety million, five hundred forty-one thousand, four hundred twenty-four".