150400640 has 64 divisors (see below), whose sum is σ = 387230760. Its totient is φ = 55529472.

The previous prime is 150400603. The next prime is 150400651. The reversal of 150400640 is 46004051.

It is a happy number.

150400640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132894784 + 17505856 = 11528^2 + 4184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 17358.

Almost surely, 2^150400640 is an apocalyptic number.

150400640 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 150400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193615380).

150400640 is an abundant number, since it is smaller than the sum of its proper divisors (236830120).

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

150400640 is a wasteful number, since it uses less digits than its factorization.

150400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 150400640 is about 12263.7938664999. The cubic root of 150400640 is about 531.8019124206.

Adding to 150400640 its reverse (46004051), we get a palindrome (196404691).

The spelling of 150400640 in words is "one hundred fifty million, four hundred thousand, six hundred forty".