153351434880 has 1152 divisors, whose sum is σ = 673925391360. Its totient is φ = 31894732800.

The previous prime is 153351434861. The next prime is 153351434881. The reversal of 153351434880 is 88434153351.

It is a happy number.

153351434880 is a `hidden beast` number, since 1 + 53 + 3 + 514 + 3 + 4 + 8 + 80 = 666.

153351434880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×153351434880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (153351434881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148739965 + ... + 148740995.

It is an arithmetic number, because the mean of its divisors is an integer number (585004680).

Almost surely, 2^153351434880 is an apocalyptic number.

153351434880 is a gapful number since it is divisible by the number (10) 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 153351434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336962695680).

153351434880 is an abundant number, since it is smaller than the sum of its proper divisors (520573956480).

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

153351434880 is a wasteful number, since it uses less digits than its factorization.

153351434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 153351434880 in words is "one hundred fifty-three billion, three hundred fifty-one million, four hundred thirty-four thousand, eight hundred eighty".