150013440 has 240 divisors, whose sum is σ = 551536128. Its totient is φ = 37552128.

The previous prime is 150013439. The next prime is 150013441. The reversal of 150013440 is 44310051.

150013440 = 425² + 426² + ... + 807².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150013439) and next prime (150013441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150013441) 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, 391489 + ... + 391871.

Almost surely, 2^150013440 is an apocalyptic number.

150013440 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 150013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

150013440 is an abundant number, since it is smaller than the sum of its proper divisors (401522688).

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

150013440 is a wasteful number, since it uses less digits than its factorization.

150013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150013440 is about 12247.9973873283. The cubic root of 150013440 is about 531.3451531520.

Adding to 150013440 its reverse (44310051), we get a palindrome (194323491).

The spelling of 150013440 in words is "one hundred fifty million, thirteen thousand, four hundred forty".