152777988 has 126 divisors (see below), whose sum is σ = 441631022. Its totient is φ = 46189440.

The previous prime is 152777981. The next prime is 152778001. The reversal of 152777988 is 889777251.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 50808384 = 10098^2 + 7128^2 .

It is a super-2 number, since 2×152777988² = 46682227234656288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (152777981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352620 + ... + 353052.

Almost surely, 2^152777988 is an apocalyptic number.

152777988 is a gapful number since it is divisible by the number (18) 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 152777988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220815511).

152777988 is an abundant number, since it is smaller than the sum of its proper divisors (288853034).

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

152777988 is a wasteful number, since it uses less digits than its factorization.

152777988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 449 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 54.

The square root of 152777988 is about 12360.3393157308. The cubic root of 152777988 is about 534.5893001974.

The spelling of 152777988 in words is "one hundred fifty-two million, seven hundred seventy-seven thousand, nine hundred eighty-eight".