151677672 has 64 divisors (see below), whose sum is σ = 408369600. Its totient is φ = 46771200.

The previous prime is 151677671. The next prime is 151677677. The reversal of 151677672 is 276776151.

It is a super-3 number, since 3×151677672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (151677671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20922 + ... + 27222.

It is an arithmetic number, because the mean of its divisors is an integer number (6380775).

Almost surely, 2^151677672 is an apocalyptic number.

151677672 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 151677672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204184800).

151677672 is an abundant number, since it is smaller than the sum of its proper divisors (256691928).

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

151677672 is a wasteful number, since it uses less digits than its factorization.

151677672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6382 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 151677672 is about 12315.7489419036. The cubic root of 151677672 is about 533.3028256855.

The spelling of 151677672 in words is "one hundred fifty-one million, six hundred seventy-seven thousand, six hundred seventy-two".