149106528 has 192 divisors, whose sum is σ = 474163200. Its totient is φ = 45411840.

The previous prime is 149106491. The next prime is 149106569. The reversal of 149106528 is 825601941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149106492 and 149106501.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 508750 + ... + 509042.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^149106528 is an apocalyptic number.

149106528 is a gapful number since it is divisible by the number (18) 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 149106528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

149106528 is an abundant number, since it is smaller than the sum of its proper divisors (325056672).

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

149106528 is a wasteful number, since it uses less digits than its factorization.

149106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149106528 is about 12210.9183929793. The cubic root of 149106528 is about 530.2722322823.

The spelling of 149106528 in words is "one hundred forty-nine million, one hundred six thousand, five hundred twenty-eight".