151280640 has 396 divisors, whose sum is σ = 618865416. Its totient is φ = 34062336.

The previous prime is 151280567. The next prime is 151280677. The reversal of 151280640 is 46082151.

151280640 is a `hidden beast` number, since 1 + 5 + 12 + 8 + 0 + 640 = 666.

151280640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2257887 + ... + 2257953.

Almost surely, 2^151280640 is an apocalyptic number.

151280640 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 151280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309432708).

151280640 is an abundant number, since it is smaller than the sum of its proper divisors (467584776).

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

151280640 is a wasteful number, since it uses less digits than its factorization.

151280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151280640 is about 12299.6195063099. The cubic root of 151280640 is about 532.8370939734.

The spelling of 151280640 in words is "one hundred fifty-one million, two hundred eighty thousand, six hundred forty".