149832144 has 120 divisors (see below), whose sum is σ = 522829632. Its totient is φ = 38914560.

The previous prime is 149832127. The next prime is 149832149. The reversal of 149832144 is 441238941.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 149832099 and 149832108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149832149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332 + ... + 17844.

Almost surely, 2^149832144 is an apocalyptic number.

149832144 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 149832144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261414816).

149832144 is an abundant number, since it is smaller than the sum of its proper divisors (372997488).

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

149832144 is a wasteful number, since it uses less digits than its factorization.

149832144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13545 (or 13536 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 149832144 is about 12240.5941032288. The cubic root of 149832144 is about 531.1310177092.

The spelling of 149832144 in words is "one hundred forty-nine million, eight hundred thirty-two thousand, one hundred forty-four".