149819040 has 288 divisors, whose sum is σ = 594397440. Its totient is φ = 33656832.

The previous prime is 149819027. The next prime is 149819077. The reversal of 149819040 is 40918941.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 149818986 and 149819004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897037 + ... + 897203.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^149819040 is an apocalyptic number.

149819040 is a gapful number since it is divisible by the number (10) 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 149819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

149819040 is an abundant number, since it is smaller than the sum of its proper divisors (444578400).

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

149819040 is a wasteful number, since it uses less digits than its factorization.

149819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149819040 is about 12240.0588233881. The cubic root of 149819040 is about 531.1155333955.

The spelling of 149819040 in words is "one hundred forty-nine million, eight hundred nineteen thousand, forty".