152464240101400 has 192 divisors, whose sum is σ = 364278032213760. Its totient is φ = 59327352000000.

The previous prime is 152464240101373. The next prime is 152464240101409. The reversal of 152464240101400 is 4101042464251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152464240101409) 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, 381169510 + ... + 381569290.

It is an arithmetic number, because the mean of its divisors is an integer number (1897281417780).

Almost surely, 2^{152464240101400} is an apocalyptic number.

152464240101400 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 152464240101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182139016106880).

152464240101400 is an abundant number, since it is smaller than the sum of its proper divisors (211813792112360).

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

152464240101400 is a wasteful number, since it uses less digits than its factorization.

152464240101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400226 (or 400217 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 152464240101400 its reverse (4101042464251), we get a palindrome (156565282565651).

The spelling of 152464240101400 in words is "one hundred fifty-two trillion, four hundred sixty-four billion, two hundred forty million, one hundred one thousand, four hundred".