149891040 has 384 divisors, whose sum is σ = 602017920. Its totient is φ = 34504704.

The previous prime is 149891009. The next prime is 149891099. The reversal of 149891040 is 40198941.

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 = 149890986 and 149891004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954642 + ... + 954798.

It is an arithmetic number, because the mean of its divisors is an integer number (1567755).

Almost surely, 2^149891040 is an apocalyptic number.

149891040 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 149891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301008960).

149891040 is an abundant number, since it is smaller than the sum of its proper divisors (452126880).

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

149891040 is a wasteful number, since it uses less digits than its factorization.

149891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

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

The square root of 149891040 is about 12242.9996324430. Note that the first 3 decimals coincide. The cubic root of 149891040 is about 531.2006008969.

The spelling of 149891040 in words is "one hundred forty-nine million, eight hundred ninety-one thousand, forty".