149142559104 has 1152 divisors, whose sum is σ = 587725632000. Its totient is φ = 35765452800.

The previous prime is 149142559081. The next prime is 149142559109. The reversal of 149142559104 is 401955241941.

149142559104 is a `hidden beast` number, since 1 + 4 + 91 + 4 + 2 + 559 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 149142559104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149142559109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 749459997 + ... + 749460195.

It is an arithmetic number, because the mean of its divisors is an integer number (510178500).

Almost surely, 2^149142559104 is an apocalyptic number.

149142559104 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 149142559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293862816000).

149142559104 is an abundant number, since it is smaller than the sum of its proper divisors (438583072896).

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

149142559104 is a wasteful number, since it uses less digits than its factorization.

149142559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 149142559104 in words is "one hundred forty-nine billion, one hundred forty-two million, five hundred fifty-nine thousand, one hundred four".