152397421440 has 256 divisors, whose sum is σ = 542254521600. Its totient is φ = 36085432320.

The previous prime is 152397421409. The next prime is 152397421447. The reversal of 152397421440 is 44124793251.

It is a junction number, because it is equal to n+sod(n) for n = 152397421392 and 152397421401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152397421447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824256 + ... + 992064.

It is an arithmetic number, because the mean of its divisors is an integer number (2118181725).

Almost surely, 2^152397421440 is an apocalyptic number.

152397421440 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 152397421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271127260800).

152397421440 is an abundant number, since it is smaller than the sum of its proper divisors (389857100160).

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

152397421440 is a wasteful number, since it uses less digits than its factorization.

152397421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167885 (or 167873 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 152397421440 in words is "one hundred fifty-two billion, three hundred ninety-seven million, four hundred twenty-one thousand, four hundred forty".