152352730127400 has 192 divisors, whose sum is σ = 515351159611200. Its totient is φ = 36925254912000.

The previous prime is 152352730127363. The next prime is 152352730127401. The reversal of 152352730127400 is 4721037253251.

It is a super-2 number, since 2×152352730127400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152352730127401) 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 47 ways as a sum of consecutive naturals, for example, 25182180 + ... + 30640620.

It is an arithmetic number, because the mean of its divisors is an integer number (2684120622975).

Almost surely, 2^{152352730127400} is an apocalyptic number.

152352730127400 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 152352730127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257675579805600).

152352730127400 is an abundant number, since it is smaller than the sum of its proper divisors (362998429483800).

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

152352730127400 is a wasteful number, since it uses less digits than its factorization.

152352730127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462700 (or 5462691 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 152352730127400 in words is "one hundred fifty-two trillion, three hundred fifty-two billion, seven hundred thirty million, one hundred twenty-seven thousand, four hundred".