151188096 has 64 divisors (see below), whose sum is σ = 410186880. Its totient is φ = 49317888.

The previous prime is 151188091. The next prime is 151188097. The reversal of 151188096 is 690881151.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (151188091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13860 + ... + 22236.

It is an arithmetic number, because the mean of its divisors is an integer number (6409170).

Almost surely, 2^151188096 is an apocalyptic number.

151188096 is a gapful number since it is divisible by the number (16) 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 151188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205093440).

151188096 is an abundant number, since it is smaller than the sum of its proper divisors (258998784).

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

151188096 is an equidigital number, since it uses as much as digits as its factorization.

151188096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The square root of 151188096 is about 12295.8568631877. The cubic root of 151188096 is about 532.7284197140.

It can be divided in two parts, 15 and 1188096, that added together give a triangular number (1188111 = T₁₅₄₁).

The spelling of 151188096 in words is "one hundred fifty-one million, one hundred eighty-eight thousand, ninety-six".