153400523100 has 288 divisors, whose sum is σ = 489568665600. Its totient is φ = 36777312000.

The previous prime is 153400523083. The next prime is 153400523131. The reversal of 153400523100 is 1325004351.

It is a super-2 number, since 2×153400523100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125429089 + ... + 125430311.

It is an arithmetic number, because the mean of its divisors is an integer number (1699891200).

Almost surely, 2^153400523100 is an apocalyptic number.

153400523100 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 153400523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244784332800).

153400523100 is an abundant number, since it is smaller than the sum of its proper divisors (336168142500).

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

153400523100 is a wasteful number, since it uses less digits than its factorization.

153400523100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 153400523100 its reverse (1325004351), we get a palindrome (154725527451).

The spelling of 153400523100 in words is "one hundred fifty-three billion, four hundred million, five hundred twenty-three thousand, one hundred".