149532106752 has 784 divisors, whose sum is σ = 530035922400. Its totient is φ = 42138206208.

The previous prime is 149532106741. The next prime is 149532106753. The reversal of 149532106752 is 257601235941.

149532106752 is a `hidden beast` number, since 1 + 4 + 9 + 532 + 1 + 0 + 67 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a junction number, because it is equal to n+sod(n) for n = 149532106698 and 149532106707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149532106753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2048384988 + ... + 2048385060.

Almost surely, 2^149532106752 is an apocalyptic number.

149532106752 is a gapful number since it is divisible by the number (12) 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 149532106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265017961200).

149532106752 is an abundant number, since it is smaller than the sum of its proper divisors (380503815648).

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

149532106752 is an frugal number, since it uses more digits than its factorization.

149532106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 149532106752 in words is "one hundred forty-nine billion, five hundred thirty-two million, one hundred six thousand, seven hundred fifty-two".