151126656 has 128 divisors (see below), whose sum is σ = 426686400. Its totient is φ = 47308800.

The previous prime is 151126637. The next prime is 151126669. The reversal of 151126656 is 656621151.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456411 + ... + 456741.

Almost surely, 2^151126656 is an apocalyptic number.

151126656 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 151126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213343200).

151126656 is an abundant number, since it is smaller than the sum of its proper divisors (275559744).

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

151126656 is a wasteful number, since it uses less digits than its factorization.

151126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 151126656 is about 12293.3582067717. The cubic root of 151126656 is about 532.6562463316.

The spelling of 151126656 in words is "one hundred fifty-one million, one hundred twenty-six thousand, six hundred fifty-six".