149954112 has 448 divisors, whose sum is σ = 585216000. Its totient is φ = 37255680.

The previous prime is 149954083. The next prime is 149954117. The reversal of 149954112 is 211459941.

It is a happy number.

149954112 is a `hidden beast` number, since 1 + 499 + 54 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (149954117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519733 + ... + 6519755.

Almost surely, 2^149954112 is an apocalyptic number.

149954112 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 149954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608000).

149954112 is an abundant number, since it is smaller than the sum of its proper divisors (435261888).

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

149954112 is a wasteful number, since it uses less digits than its factorization.

149954112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 149954112 is about 12245.5752008634. The cubic root of 149954112 is about 531.2750976471.

It can be divided in two parts, 1499 and 54112, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 149954112 in words is "one hundred forty-nine million, nine hundred fifty-four thousand, one hundred twelve".