151977864 has 64 divisors (see below), whose sum is σ = 399816000. Its totient is φ = 48070400.

The previous prime is 151977853. The next prime is 151977869. The reversal of 151977864 is 468779151.

It is a super-2 number, since 2×151977864² = 46194542292004992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151977869) 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, 39214 + ... + 42914.

It is an arithmetic number, because the mean of its divisors is an integer number (6247125).

Almost surely, 2^151977864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151977864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199908000).

151977864 is an abundant number, since it is smaller than the sum of its proper divisors (247838136).

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

151977864 is a wasteful number, since it uses less digits than its factorization.

151977864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3794 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 151977864 is about 12327.9302399065. The cubic root of 151977864 is about 533.6544215836.

The spelling of 151977864 in words is "one hundred fifty-one million, nine hundred seventy-seven thousand, eight hundred sixty-four".