153621468 has 384 divisors, whose sum is σ = 564480000. Its totient is φ = 35562240.

The previous prime is 153621451. The next prime is 153621487. The reversal of 153621468 is 864126351.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5297278 + ... + 5297306.

It is an arithmetic number, because the mean of its divisors is an integer number (1470000).

Almost surely, 2^153621468 is an apocalyptic number.

153621468 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 153621468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240000).

153621468 is an abundant number, since it is smaller than the sum of its proper divisors (410858532).

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

153621468 is a wasteful number, since it uses less digits than its factorization.

153621468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 153621468 is about 12394.4127735040. The cubic root of 153621468 is about 535.5713092273.

The spelling of 153621468 in words is "one hundred fifty-three million, six hundred twenty-one thousand, four hundred sixty-eight".