152434100000 has 432 divisors, whose sum is σ = 470110364136. Its totient is φ = 48222720000.

The previous prime is 152434099969. The next prime is 152434100009. The reversal of 152434100000 is 1434251.

It can be written as a sum of positive squares in 12 ways, for example, as 138452456464 + 13981643536 = 372092^2 + 118244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (152434100009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63698804 + ... + 63701196.

Almost surely, 2^152434100000 is an apocalyptic number.

152434100000 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 152434100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235055182068).

152434100000 is an abundant number, since it is smaller than the sum of its proper divisors (317676264136).

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

152434100000 is an equidigital number, since it uses as much as digits as its factorization.

152434100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 152434100000 its reverse (1434251), we get a palindrome (152435534251).

The spelling of 152434100000 in words is "one hundred fifty-two billion, four hundred thirty-four million, one hundred thousand".