153451736640 has 336 divisors, whose sum is σ = 537719869440. Its totient is φ = 40155402240.

The previous prime is 153451736519. The next prime is 153451736671. The reversal of 153451736640 is 46637154351.

153451736640 is a `hidden beast` number, since 1 + 5 + 34 + 517 + 3 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 106637041 + ... + 106638479.

Almost surely, 2^153451736640 is an apocalyptic number.

153451736640 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 153451736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268859934720).

153451736640 is an abundant number, since it is smaller than the sum of its proper divisors (384268132800).

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

153451736640 is a wasteful number, since it uses less digits than its factorization.

153451736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 153451736640 in words is "one hundred fifty-three billion, four hundred fifty-one million, seven hundred thirty-six thousand, six hundred forty".