152101400 has 96 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 54096000.

The previous prime is 152101399. The next prime is 152101409. The reversal of 152101400 is 4101251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152101409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102665 + ... + 104135.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2^152101400 is an apocalyptic number.

152101400 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 152101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

152101400 is an abundant number, since it is smaller than the sum of its proper divisors (242159080).

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

152101400 is a wasteful number, since it uses less digits than its factorization.

152101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 152101400 is about 12332.9396333559. The cubic root of 152101400 is about 533.7989770172.

Adding to 152101400 its reverse (4101251), we get a palindrome (156202651).

The spelling of 152101400 in words is "one hundred fifty-two million, one hundred one thousand, four hundred".