152451389440 has 384 divisors, whose sum is σ = 441552384000. Its totient is φ = 49387143168.

The previous prime is 152451389429. The next prime is 152451389449. The reversal of 152451389440 is 44983154251.

It is a super-2 number, since 2×152451389440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152451389449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146728441 + ... + 146729479.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876000).

Almost surely, 2^152451389440 is an apocalyptic number.

152451389440 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 152451389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192000).

152451389440 is an abundant number, since it is smaller than the sum of its proper divisors (289100994560).

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

152451389440 is a wasteful number, since it uses less digits than its factorization.

152451389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 152451389440 in words is "one hundred fifty-two billion, four hundred fifty-one million, three hundred eighty-nine thousand, four hundred forty".