130154530040400 has 240 divisors, whose sum is σ = 418805769358080. Its totient is φ = 34551677798400.

The previous prime is 130154530040393. The next prime is 130154530040411. The reversal of 130154530040400 is 4040035451031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 923712354 + ... + 923853246.

It is an arithmetic number, because the mean of its divisors is an integer number (1745024038992).

Almost surely, 2^{130154530040400} is an apocalyptic number.

130154530040400 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 130154530040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209402884679040).

130154530040400 is an abundant number, since it is smaller than the sum of its proper divisors (288651239317680).

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

130154530040400 is a wasteful number, since it uses less digits than its factorization.

130154530040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144374 (or 144363 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 130154530040400 its reverse (4040035451031), we get a palindrome (134194565491431).

The spelling of 130154530040400 in words is "one hundred thirty trillion, one hundred fifty-four billion, five hundred thirty million, forty thousand, four hundred".