123513150400 has 336 divisors, whose sum is σ = 318386764800. Its totient is φ = 47130071040.

The previous prime is 123513150389. The next prime is 123513150443. The reversal of 123513150400 is 4051315321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690017511 + ... + 690017689.

Almost surely, 2^123513150400 is an apocalyptic number.

123513150400 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 123513150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159193382400).

123513150400 is an abundant number, since it is smaller than the sum of its proper divisors (194873614400).

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

123513150400 is a wasteful number, since it uses less digits than its factorization.

123513150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 123513150400 its reverse (4051315321), we get a palindrome (127564465721).

The spelling of 123513150400 in words is "one hundred twenty-three billion, five hundred thirteen million, one hundred fifty thousand, four hundred".