152257644 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 37117440.

The previous prime is 152257639. The next prime is 152257663. The reversal of 152257644 is 446752251.

It is a happy number.

152257644 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 7 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152257599 and 152257608.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 423937 + ... + 424295.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^152257644 is an apocalyptic number.

152257644 is a gapful number since it is divisible by the number (14) 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 152257644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

152257644 is an abundant number, since it is smaller than the sum of its proper divisors (374644116).

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

152257644 is a wasteful number, since it uses less digits than its factorization.

152257644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 152257644 is about 12339.2724258767. The cubic root of 152257644 is about 533.9816936030.

The spelling of 152257644 in words is "one hundred fifty-two million, two hundred fifty-seven thousand, six hundred forty-four".