150635440 has 80 divisors (see below), whose sum is σ = 359102016. Its totient is φ = 58752000.

The previous prime is 150635357. The next prime is 150635447. The reversal of 150635440 is 44536051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 150635399 and 150635408.

It is not an unprimeable number, because it can be changed into a prime (150635447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832150 + ... + 832330.

Almost surely, 2^150635440 is an apocalyptic number.

150635440 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 150635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179551008).

150635440 is an abundant number, since it is smaller than the sum of its proper divisors (208466576).

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

150635440 is a wasteful number, since it uses less digits than its factorization.

150635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 150635440 is about 12273.3630273043. The cubic root of 150635440 is about 532.0785117889.

It can be divided in two parts, 15063 and 5440, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 150635440 in words is "one hundred fifty million, six hundred thirty-five thousand, four hundred forty".