151145280 has 336 divisors, whose sum is σ = 612428544. Its totient is φ = 33730560.

The previous prime is 151145263. The next prime is 151145287. The reversal of 151145280 is 82541151.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151145287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411657 + ... + 412023.

It is an arithmetic number, because the mean of its divisors is an integer number (1822704).

Almost surely, 2^151145280 is an apocalyptic number.

151145280 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 151145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306214272).

151145280 is an abundant number, since it is smaller than the sum of its proper divisors (461283264).

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

151145280 is a wasteful number, since it uses less digits than its factorization.

151145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151145280 is about 12294.1156656345. The cubic root of 151145280 is about 532.6781259538.

The spelling of 151145280 in words is "one hundred fifty-one million, one hundred forty-five thousand, two hundred eighty".