153462314040 has 384 divisors, whose sum is σ = 551882445120. Its totient is φ = 34023628800.

The previous prime is 153462314039. The next prime is 153462314087. The reversal of 153462314040 is 40413264351.

It is a happy number.

It is a super-2 number, since 2×153462314040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153462313992 and 153462314010.

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, 26180710 + ... + 26186570.

Almost surely, 2^153462314040 is an apocalyptic number.

153462314040 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 153462314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275941222560).

153462314040 is an abundant number, since it is smaller than the sum of its proper divisors (398420131080).

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

153462314040 is a wasteful number, since it uses less digits than its factorization.

153462314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 153462314040 its reverse (40413264351), we get a palindrome (193875578391).

The spelling of 153462314040 in words is "one hundred fifty-three billion, four hundred sixty-two million, three hundred fourteen thousand, forty".