149235840 has 192 divisors, whose sum is σ = 555249240. Its totient is φ = 36716544.

The previous prime is 149235833. The next prime is 149235841. The reversal of 149235840 is 48532941.

It can be written as a sum of positive squares in 4 ways, for example, as 109998144 + 39237696 = 10488^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 149235795 and 149235804.

It is not an unprimeable number, because it can be changed into a prime (149235841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73884 + ... + 75876.

Almost surely, 2^149235840 is an apocalyptic number.

149235840 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 149235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277624620).

149235840 is an abundant number, since it is smaller than the sum of its proper divisors (406013400).

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

149235840 is a wasteful number, since it uses less digits than its factorization.

149235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149235840 is about 12216.2121789039. The cubic root of 149235840 is about 530.4254800997.

The spelling of 149235840 in words is "one hundred forty-nine million, two hundred thirty-five thousand, eight hundred forty".