153249516 has 192 divisors, whose sum is σ = 490291200. Its totient is φ = 40419648.

The previous prime is 153249487. The next prime is 153249533. The reversal of 153249516 is 615942351.

153249516 is a `hidden beast` number, since 153 + 2 + 495 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674995 + ... + 675221.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^153249516 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 153249516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

153249516 is an abundant number, since it is smaller than the sum of its proper divisors (337041684).

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

153249516 is a wasteful number, since it uses less digits than its factorization.

153249516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 153249516 is about 12379.3988545486. The cubic root of 153249516 is about 535.1387138494.

The spelling of 153249516 in words is "one hundred fifty-three million, two hundred forty-nine thousand, five hundred sixteen".