151205580 has 144 divisors (see below), whose sum is σ = 477719424. Its totient is φ = 38684160.

The previous prime is 151205567. The next prime is 151205603. The reversal of 151205580 is 85502151.

It is a super-3 number, since 3×151205580³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515914 + ... + 516206.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^151205580 is an apocalyptic number.

151205580 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 151205580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

151205580 is an abundant number, since it is smaller than the sum of its proper divisors (326513844).

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

151205580 is a wasteful number, since it uses less digits than its factorization.

151205580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 151205580 is about 12296.5678138251. The cubic root of 151205580 is about 532.7489545421.

The spelling of 151205580 in words is "one hundred fifty-one million, two hundred five thousand, five hundred eighty".