151001440 has 96 divisors (see below), whose sum is σ = 382656960. Its totient is φ = 56162304.

The previous prime is 151001387. The next prime is 151001447. The reversal of 151001440 is 44100151.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151001447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135606 + ... + 136714.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^151001440 is an apocalyptic number.

151001440 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 151001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191328480).

151001440 is an abundant number, since it is smaller than the sum of its proper divisors (231655520).

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

151001440 is a wasteful number, since it uses less digits than its factorization.

151001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 151001440 is about 12288.2643200738. The cubic root of 151001440 is about 532.5090948949.

Adding to 151001440 its reverse (44100151), we get a palindrome (195101591).

The spelling of 151001440 in words is "one hundred fifty-one million, one thousand, four hundred forty".