149693376 has 112 divisors (see below), whose sum is σ = 456728576. Its totient is φ = 42384384.

The previous prime is 149693351. The next prime is 149693393. The reversal of 149693376 is 673396941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170250 + ... + 171126.

Almost surely, 2^149693376 is an apocalyptic number.

149693376 is a gapful number since it is divisible by the number (16) 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 149693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228364288).

149693376 is an abundant number, since it is smaller than the sum of its proper divisors (307035200).

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

149693376 is a wasteful number, since it uses less digits than its factorization.

149693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 149693376 is about 12234.9244378541. The cubic root of 149693376 is about 530.9669969309.

The spelling of 149693376 in words is "one hundred forty-nine million, six hundred ninety-three thousand, three hundred seventy-six".