153107136 has 336 divisors, whose sum is σ = 568049664. Its totient is φ = 38320128.

The previous prime is 153107107. The next prime is 153107137. The reversal of 153107136 is 631701351.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (153107137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205505 + ... + 1205631.

It is an arithmetic number, because the mean of its divisors is an integer number (1690624).

Almost surely, 2^153107136 is an apocalyptic number.

153107136 is a gapful number since it is divisible by the number (16) 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 153107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284024832).

153107136 is an abundant number, since it is smaller than the sum of its proper divisors (414942528).

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

153107136 is a wasteful number, since it uses less digits than its factorization.

153107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 153107136 is about 12373.6468351089. The cubic root of 153107136 is about 534.9729348407.

Adding to 153107136 its reverse (631701351), we get a palindrome (784808487).

The spelling of 153107136 in words is "one hundred fifty-three million, one hundred seven thousand, one hundred thirty-six".