153401040 has 240 divisors, whose sum is σ = 576296448. Its totient is φ = 37698048.

The previous prime is 153401021. The next prime is 153401071. The reversal of 153401040 is 40104351.

It is a happy number.

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 (18).

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, 252417 + ... + 253023.

Almost surely, 2^153401040 is an apocalyptic number.

153401040 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 153401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288148224).

153401040 is an abundant number, since it is smaller than the sum of its proper divisors (422895408).

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

153401040 is a wasteful number, since it uses less digits than its factorization.

153401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 153401040 is about 12385.5173489039. The cubic root of 153401040 is about 535.3150268559.

Adding to 153401040 its reverse (40104351), we get a palindrome (193505391).

The spelling of 153401040 in words is "one hundred fifty-three million, four hundred one thousand, forty".