153698496 has 252 divisors, whose sum is σ = 517559544. Its totient is φ = 39997440.

The previous prime is 153698491. The next prime is 153698497. The reversal of 153698496 is 694896351.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1399680) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (153698491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4958001 + ... + 4958031.

Almost surely, 2^153698496 is an apocalyptic number.

153698496 is a gapful number since it is divisible by the number (16) 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 153698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258779772).

153698496 is an abundant number, since it is smaller than the sum of its proper divisors (363861048).

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

153698496 is a wasteful number, since it uses less digits than its factorization.

153698496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 153698496 is about 12397.5197519504. The cubic root of 153698496 is about 535.6608086403.

Multiplying 153698496 by its sum of digits (51), we get a square (7838623296 = 88536²).

153698496 divided by its sum of digits (51) gives a square (3013696 = 1736²).

The spelling of 153698496 in words is "one hundred fifty-three million, six hundred ninety-eight thousand, four hundred ninety-six".