151171272 has 252 divisors, whose sum is σ = 516786795. Its totient is φ = 41313888.

The previous prime is 151171261. The next prime is 151171289. The reversal of 151171272 is 272171151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 75585636 = 8694^2 + 8694^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8694.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (980) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6572653 + ... + 6572675.

Almost surely, 2^151171272 is an apocalyptic number.

151171272 is a gapful number since it is divisible by the number (12) 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 151171272

151171272 is an abundant number, since it is smaller than the sum of its proper divisors (365615523).

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

151171272 is an equidigital number, since it uses as much as digits as its factorization.

151171272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 151171272 is about 12295.1727112717. The cubic root of 151171272 is about 532.7086585564.

The spelling of 151171272 in words is "one hundred fifty-one million, one hundred seventy-one thousand, two hundred seventy-two".