151793280 has 288 divisors, whose sum is σ = 560778660. Its totient is φ = 37822464.

The previous prime is 151793273. The next prime is 151793281. The reversal of 151793280 is 82397151.

It can be written as a sum of positive squares in 2 ways, for example, as 151585344 + 207936 = 12312^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151793281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2079324 + ... + 2079396.

Almost surely, 2^151793280 is an apocalyptic number.

151793280 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 151793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280389330).

151793280 is an abundant number, since it is smaller than the sum of its proper divisors (408985380).

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

151793280 is a wasteful number, since it uses less digits than its factorization.

151793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 151793280 is about 12320.4415505289. The cubic root of 151793280 is about 533.4382849014.

The spelling of 151793280 in words is "one hundred fifty-one million, seven hundred ninety-three thousand, two hundred eighty".