150664440 has 64 divisors (see below), whose sum is σ = 454066560. Its totient is φ = 39992960.

The previous prime is 150664403. The next prime is 150664511. The reversal of 150664440 is 44466051.

150664440 = 48² + 49² + ... + 767².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150664398 and 150664407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24475 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (7094790).

Almost surely, 2^150664440 is an apocalyptic number.

150664440 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 150664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227033280).

150664440 is an abundant number, since it is smaller than the sum of its proper divisors (303402120).

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

150664440 is a wasteful number, since it uses less digits than its factorization.

150664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 150664440 is about 12274.5443907299. The cubic root of 150664440 is about 532.1126544553.

The spelling of 150664440 in words is "one hundred fifty million, six hundred sixty-four thousand, four hundred forty".