150257640 has 128 divisors (see below), whose sum is σ = 493718400. Its totient is φ = 36357120.

The previous prime is 150257621. The next prime is 150257659. The reversal of 150257640 is 46752051.

It is an interprime number because it is at equal distance from previous prime (150257621) and next prime (150257659).

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 = 150257598 and 150257607.

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 31 ways as a sum of consecutive naturals, for example, 94371 + ... + 95949.

It is an arithmetic number, because the mean of its divisors is an integer number (3857175).

Almost surely, 2^150257640 is an apocalyptic number.

150257640 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 150257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246859200).

150257640 is an abundant number, since it is smaller than the sum of its proper divisors (343460760).

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

150257640 is a wasteful number, since it uses less digits than its factorization.

150257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 150257640 is about 12257.9623102700. The cubic root of 150257640 is about 531.6333143169.

The spelling of 150257640 in words is "one hundred fifty million, two hundred fifty-seven thousand, six hundred forty".