149406840 has 192 divisors, whose sum is σ = 548402400. Its totient is φ = 34944000.

The previous prime is 149406839. The next prime is 149406871. The reversal of 149406840 is 48604941.

It is a happy number.

149406840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 149406795 and 149406804.

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, 114190 + ... + 115490.

Almost surely, 2^149406840 is an apocalyptic number.

149406840 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 149406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

149406840 is an abundant number, since it is smaller than the sum of its proper divisors (398995560).

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

149406840 is a wasteful number, since it uses less digits than its factorization.

149406840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

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

The square root of 149406840 is about 12223.2090712709. The cubic root of 149406840 is about 530.6279965452.

It can be divided in two parts, 1 and 49406840, that added together give a square (49406841 = 7029²).

The spelling of 149406840 in words is "one hundred forty-nine million, four hundred six thousand, eight hundred forty".